SOLUTION: Solve the equation by completing the square:
{{{ 3x^2+4x=4 }}}
Algebra.Com
Question 989397: Solve the equation by completing the square:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
3x^2 +4x = 4
divide both sides of = by 3
x^2 +4x/3 = 4/3
divide x coefficient by 2 and square it then add to both sides of =
x^2 +4x/3 + 16/36 = 4/3 +16/36
(x +4/6)^2 = 64/36
take square root of both sides of =
x +4/6 = 8/6
x = 4/6 = 2/3
********************************
now check answer in original equation
3(2/3)^2 +4(2/3) = 4
12/9 +8/3 = 4
12/9 +24/9 = 4
36/9 = 4
4 = 4
our answer x = 2/3 checks
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