Solve Quadratic equations: 4x ^ 2 – 5x – 12 = 0

By
5 interesting facts about sports broadcasting site
-
Solve Quadratic equations: 4x^2-5x-12=0
Solve Quadratic equations: 4x^2-5x-12=0

4x ^ 2 – 5x – 12 = 0 is an example of a quadratic equation. This equation is a mathematical equation and it requires a formula to solve it. This is one of the mathematical equation-based questions where variables and numbers are given. In this equation, we have to simply prove that left hand side is equal to right hand side (L.H.S = R.H.S).

4x ^ 2 – 5x – 12 = 0, is one of the quadratic equation forms. This type of quadratic equations problem generally solved by simplification method. This method involves breaking of equations till it equalizes the equation. Mathematical equations a just seemed to be complex but they’re actually difficult. It requires basic mathematical knowledge and formulas to solve any equations.

About Quadratic Equation 4x ^ 2 – 5x – 12 = 0

Quadratic equation is a mathematical term. Quadratic Equation a problem-based equation that is asked to solve to prove a solution. It is derived from a Latin word quadratus. 4x ^ 2 – 5x – 12 = 0, is a prime example of quadratic equation. A polynomial equation of a second degree where atleast one of the variables have a square on it.  Quadratic equations are represented in the form of ax^2 + bx + c = 0.

Example:

  • In the given equation, ax^2 + bx + c = 0
  • a, b, c are called as a known coefficient where a is not equal 0
  • x is represented as variable.

Why coefficient ‘a’ is not equal to zero in a quadratic equation?

We all have learned that Coefficient ‘a’ can never be represented with a value 0. Mathematics have rules and regulations for each mathematical concept. Quadratic equation will get converted to a linear equation if coefficient ‘a’ is represented equal to 0 which means it will alter the whole equation.

Formula to solve 4x ^ 2 – 5x – 12 = 0

Given term is an example of quadratic equation, and it requires a special formula to solve such kinds of problems in mathematics.

Quadratic Formula: x = [ -b   (b2 – 4ac)] / 2a

This is an accurate and verified formula to solve quadratic equations and related problems. This formula is a formula of simplification in which we simplify the equation as much as possible. This technique is a best method to solve the equation, 4x ^ 2 – 5x – 12 = 0.

Four different Methods to Solve 4x ^ 2 – 5x – 12 = 0

Factoring is a technique to solve an equation by splitting the middle terms of the equation. Factoring technique is used to determine the factors of an equation and then it is solved.

Using Quadratic Formula

x = [ -b   (b2 – 4ac)] / 2a, this is a quadratic formula, by simply adding all the respective values in this formula we can find a right solution.

Taking the Square Root

Taking the square root is a method to find a solution for solving Quadratic Equation. In this technique we solve the roots of both the sides to get an accurate answer for this. This method applicable only when the squared variable is brought to the one side and the constant terms shifted to other side.

Completing the square

Divide the equation by the coefficient of square variable. It means divide the equation by the coefficient ‘a’ then imply the square method. Add a constant term on both the sides of the equation and calculate.

Solution of the 4x ^ 2 – 5x – 12 = 0

  • We will solve the equation by quadratic formula.
  • Quadratic formula: x = [ -b ± √ (b2 – 4ac)] / 2a
  • In this given equation: a = 4, b = – 5 and c  = – 12 where a is not equal to 0.
  • X is an unknown factor or a variable.
  • Put all the respective values in the quadratic formula.

Assume, X = x

  • Quadratic formula = X = [ -b ± √ (b2 – 4ac)] / 2a
  • X = [ – (-5) ± √ ( (-5)2– 4 (4) (-12))] / 2 (4)
  • X = [ 5 ± √ ( 25 +192 )] / 8
  • X = [5 ± √ ( 217 )] / 8
  • X = 5 + √ 217 / 8 and X = 5 – √ 217 / 8

Thus, x = 2.466 and x = – 1.216

Two consecutive solution for the equation are: x = 2.466 and x = – 1

Some examples of quadratic equations:

  • x2 – 2x – 24 = 0
  • 2x2 + 4x – 5 = 0
  • x2 – 1x – 6 = 0

These are three examples of what quadratic equations looks like. These equations are further solved with the help of quadratic formula to find the value of ‘x’.

Conclusion

4x ^ 2 – 5x – 12 = 0, is an example of quadratic equation. This equation can be solve by four different methods. In this equation we have to find the value of the x, by breaking down the equation as per the mathematical order. Quadratic equations is a small universe in the cosmos of mathematics.

Quadratic equations are very easy to solve when we apply the right formula. If we have the formula, we have just put the right value at the right position and it’s done. 4x ^ 2 – 5x – 12 = 0 an equation and it can asked in the format of multiple choice questions also.

For any quadratic equations same quadratic formula is used to find the value of ‘x’. Mathematics just looks difficult but it’s not a difficult subject. Mathematics is a game of formula, if you know the formula you can crack all the mathematical problems.

FAQs

  1. What is Quadratic Equation?

Quadratic equation is a mathematical term. Quadratic Equation a problem-based equation that asked to be solve to prove a solution. It iderived from a Latin word quadratus.

  1. What is the solution for 4x ^ 2 – 5x – 12 = 0.

As per the quadratic formula there are two solutions for it. The two consecutive solution for the equation are: x = 2.466 and x = – 1. We generally avoid the negative one for further calculations.

  1. What is the formula of quadratic equation?

Quadratic formula: x = [ -b ± √ (b2 – 4ac)] / 2a. In this given equation: a = 4, b = – 5 and c  = – 12 where a is not equal to 0.

Also Read about: earning a degree can be expensive but which example shows why it might be worth it?

5 interesting facts about sports broadcasting site
  What is a sports broadcasting website? _________________________________________________________________________ Sports radio networks provide live coverage of tv and/or radio sports. By just visiting the web, we are conscious of different sports. It normally consists of two or three people who describe every sporting event. In continuous updating and publishing games, a sports broadcaster plays a significant role. _________________________________________________________________________ Sports became famous every day during this period. Some people watch their favorite sporting games and check the news. You can find details about your favorite stars. Here's 먹튀, who brings you news and details on people's favorite sports. People have enjoyed online betting for the last couple of years. The number of people interested in online betting is reportedly rising dramatically. Worldwide, people expend a great deal of time playing video games. Using state-of-the-art Internet technologies, people can watch smartphones and devices live in different sports. There are many sports blogs available on the Internet like the 먹튀. _________________________________________________________________________ Five interesting facts about sports broadcasting: _________________________________________________________________________ Sports of almost all sorts worldwide are popular and part of the reason they are so popular is that they can be transmitted on television and radio to vast crowds. While many people say that nothing is good about a live game, the benefit of television and radio sports is also play-by-play, which will allow fans to watch this activity. Sports coverage is more than just a game on Air, it is just like the sports themselves, including those who cannot watch it live. You can see live sports on a good 먹튀사이트주소. _________________________________________________________________________ 1.    The history of sports broadcasting websites: _________________________________________________________________________   In 1939, athletic competitions started to be shown on TV. On 17 May 1939, the first baseball game on TV was a college game. On September 30, 1939, and the first NFL, on October 22, 1939, America will have its first football game on Air. NBC televised the game. Professional football has since become a big display in TV sports. _________________________________________________________________________ 2.    What do sports broadcasters do? _________________________________________________________________________ There is a lot of work to be undertaken if you wish to pursue a sports broadcasting organization. The role of an analyst is to make sports known to your viewers. You should be an advertiser. Everything that happens in a live match, they tell their spectators. The team plays, the team wins, or both plays, as if a team were at the tip of the side. Sports broadcasting websites with a good 먹튀사이트주소 offer the best quality content. _________________________________________________________________________ 3.    Sports broadcasting is easy: _________________________________________________________________________ The workload alone is adequate to validate this, but I'd like to dive more closely. A good bedtime is a pleasure every weekend during the season. Then it is time to continue to train for the next game early in the next morning, to record interviews, to fly to another location, or something else. On the lane, luxurious hotel life may be tempting but will pull you away from your friends and families, missed dining and celebrations, missed children's shows, and spend plenty of time away. _________________________________________________________________________ 4.    How to become a sports broadcaster? _________________________________________________________________________ To broadcast a sporting match undoubtedly sounds a lot of fun for sports lovers all around, but it is not a straightforward feat to become a sports broadcaster. About every radio station has a bachelors for four years and has been working as editors, production assistants, and equipment technicians for many years as entry-level broadcasting officers. As for every worthy occupation, it's a tough challenge to become a sport presenter. It will certainly be rewarding for those involved in sports journalism. _________________________________________________________________________ 5.    Is it a good career? _________________________________________________________________________ Okay, whether or not you're broadcasting decent sports. We all consider whether it is worth trying or not until we launch our careers. I would tell you here of the best work for sport broadcasting. This is one of people's most famous works. People want to be a sports analyst, and even the sports radio station's pay package is astounding. Neither do you intend to be a sports host. In this market, you'll get the right number.