Posted by **Justin P** on Wednesday, January 18, 2012 at 10:34am.

What is a quadratic formula? how can i solve x^2 + 8x + 12 = 0 applying quadratic formula?

- Math -
**Steve**, Wednesday, January 18, 2012 at 11:15am
there is only one Quadratic Formula.

It allows you to compute the roots of any quadratic equation.

Given the equation ax^2 + bx + c = 0, the roots are given by

x = [-b ± √(b^2 - 4ac)]/2a

Now, you have

x^2 + 8x + 12 = 0

so, the two roots of this equation are

[-8 ± √(64-4*1*12)]/2*1

= [-8 ± √(64-48)]/2

= [-8 ± √16]/2

= [-8 ± 4]/2

= -4 ± 2

= -4+2 or -4-2

= -2 or -6

This can be verified by noticing that

x^2 + 8x + 12 = 0

(x+2)(x+6) = 0

x = -2 or -6

## Answer This Question

## Related Questions

- Math - Use the quadratic formula to solve each of the following quadratic ...
- Math - Solve for the zeros of the function using the quadratic formula. 3x^2=-4x...
- math - (4.35E-2 - x)(7.56E-2 -x ) ============================ (0.324 + 2x)2 ...
- math-calculus - solve equation |x^2-2x-6| using quadratic formula. i not get how...
- math - 15t^2+7t=2 The quadratic formula tells you that the solutions are: t = [-...
- College Math II - Solve by using the quadratic formula. x^2 + 6x + 6 = 0 I am ...
- math,algebra - can someone help me out factor out this 0=16t^2-122t+180 i have ...
- Algebra - I was given this answers to a problems I solved but I do not ...
- Algebra - I was given this answers to a problems I solved but I do not ...
- Math - Solve the quadratic equation using the quadratic formula, x^2-3x+2=0.

More Related Questions