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Quadratic Formula or Quadratic Equation

 

 

You may use the Quadratic Formula to solve quadratic equations when it is too difficult to solve by factoring and other methods.

Note: You do not need to know this formula for the SAT. This implies that the quadratic equations that you will encounter in the SAT should be simple enough to be solved by the other methods.

 

 

Given the quadratic equation ax2 + bx + c, we can find the values of x by using the formula:

quadratic formula

Let's consider an example.

Example: Find the values of x for the equation: 4x2 + 26x + 12 = 0

Step 1: From the equation:

a = 4, b = 26 and c = 12

Step 2: Plug into the formula. The ± sign means there are two values, one with + and the other with –.

quadratic formula 1

quadratic formula 2

Answer: :x = -6, x = -1/2

 

 

Have a look at the following videos for more examples on the use of quadratic formula to solve equations.:

 

 

 

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