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

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 = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

a=3, b=2, c=-4

{{{x = (-2 +- sqrt( 2^2-4*3*(-4) ))/(2*3) }}}
{{{x = (-2 +- sqrt( 4-4*(-12) ))/6 }}}
{{{x = (-2 +- sqrt( 4-(-48) ))/6 }}}
{{{x = (-2 +- sqrt( 44 ))/6 }}}
{{{x = (-1 +- sqrt( 44 ))/3 }}}
{{{x1 = (-1 + sqrt( 44 ))/3 }}}
{{{x2 = (-1 - sqrt( 44 ))/3 }}}
{{{sum = (-1 + sqrt( 44 ))/3 + (-1 - sqrt( 44 ))/3 }}}
{{{sum = (-2 + sqrt(44)-sqrt(44))/3 }}}
{{{sum=-2/3}}}