Friday

April 18, 2014

April 18, 2014

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

- Math -
**Steve**, Wednesday, January 18, 2012 at 11:15amthere 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

**Related Questions**

Math - Use the quadratic formula to solve each of the following quadratic ...

math-calculus - solve equation |x^2-2x-6| using quadratic formula. i not get how...

math - (4.35E-2 - x)(7.56E-2 -x ) ============================ (0.324 + 2x)2 ...

College Math II - Solve by using the quadratic formula. x^2 + 6x + 6 = 0 I am ...

math - 15t^2+7t=2 The quadratic formula tells you that the solutions are: t = [-...

Quadratic Formula - 3x^2-x-16=0 Use the quadratic formula to solve this.

math,algebra - can someone help me out factor out this 0=16t^2-122t+180 i have ...

algebra II - I'm quite clueless as to how to solve this. I know the quadratic ...

Math - Using the quadratic formula solve xsquared=2/3x Using the quadratic ...

math,algebra,help - Is this right: Solve: x^2+16x+60=0 this is what i did: i ...