SOLUTION: I would greatly appreciate some help on this problem. It is solving polynomial equations by factoring. What is the sum of the solutions of the equation 3x^2 plus 11x = 4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I would greatly appreciate some help on this problem. It is solving polynomial equations by factoring. What is the sum of the solutions of the equation 3x^2 plus 11x = 4      Log On


   

Question 254955: I would greatly appreciate some help on this problem. It is solving polynomial equations by factoring. What is the sum of the solutions of the equation 3x^2 plus 11x = 4
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
I would greatly appreciate some help on this problem. It is solving polynomial equations by factoring. What is the sum of the solutions of the equation 3x^2 plus 11x = 4
3*x^2+11*x=4
3*x^2+11*x-4=0
use quadratic formula for a*x^2 + b*x + c = 0 to solve for both x's
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=3, b=2, c=-4
x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A3%2A%28-4%29+%29%29%2F%282%2A3%29+
x+=+%28-2+%2B-+sqrt%28+4-4%2A%28-12%29+%29%29%2F6+
x+=+%28-2+%2B-+sqrt%28+4-%28-48%29+%29%29%2F6+
x+=+%28-2+%2B-+sqrt%28+44+%29%29%2F6+
x+=+%28-1+%2B-+sqrt%28+44+%29%29%2F3+
x1+=+%28-1+%2B+sqrt%28+44+%29%29%2F3+
x2+=+%28-1+-+sqrt%28+44+%29%29%2F3+
sum+=+%28-1+%2B+sqrt%28+44+%29%29%2F3+%2B+%28-1+-+sqrt%28+44+%29%29%2F3+
sum+=+%28-2+%2B+sqrt%2844%29-sqrt%2844%29%29%2F3+
sum=-2%2F3