SOLUTION: please help. using the quadratic formula x=-b= (with small dash under the plus sign) sqrt (b^2-4ac)/2a find the roots of the equation 6x^2+12x=-5 Thanks

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: please help. using the quadratic formula x=-b= (with small dash under the plus sign) sqrt (b^2-4ac)/2a find the roots of the equation 6x^2+12x=-5 Thanks      Log On


   



Question 140969: please help. using the quadratic formula x=-b= (with small dash under the plus sign) sqrt (b^2-4ac)/2a find the roots of the equation
6x^2+12x=-5 Thanks

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve, using the quadratic formula:x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
6x%5E2%2B12x+=+-5 Add 5 to both sides of the equation.
6x%5E2%2B12x%2B5+=+0 Apply the formula; here: a = 6, b = 12, and c = 5.
x+=+%28-12%2B-sqrt%2812%5E2-4%286%29%285%29%29%29%2F2%286%29 Simplify the right side.
x+=+%28-12%2B-sqrt%28144-120%29%29%2F12
x+=+%28-12%2B-sqrt%2824%29%29%2F12
x+=+-1%2B%282%2Asqrt%286%29%29%2F12 or x+=+-1-%282%2Asqrt%286%29%29%2F12
x+=+-1%2B%28sqrt%286%29%29%2F6 or x+=+-1-%28sqrt%286%29%29%2F6 Final answer!