SOLUTION: solve by completing the square 3x^2 +5x=2 answer: -2,1/3 can anyone give me full break down on why the answer is -2,1/3

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Question 228042: solve by completing the square


3x^2 +5x=2


answer: -2,1/3 can anyone give me full break down on why the answer is -2,1/3
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
dividing by 3 ___ x^2 + 5/3 x = 2/3

adding half of the x-term coefficient, squared ___ x^2 + 5/3 x + (5/6)^2 = 49/36

taking square root ___ x + 5/6 = ± 7/6

x + 5/6 = 7/6 ___ x = 1/3

x + 5/6 = -7/6 ___ x = -2