SOLUTION: complete the square 6xsquared+5x-4=0

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Question 322175: complete the square 6xsquared+5x-4=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

6x%5E2%2B5x-4=0
6%28x%5E2%2B%285%2F6%29x%29-4=0
Take (1/2) of the x-coefficient and square it,
6%28x%5E2%2B%285%2F6%29x%2B%2825%2F144%29%29-4-6%2825%2F144%29=0
6%28x%2B5%2F12%29%5E2-96%2F24-25%2F24=0
6%28x%2B5%2F12%29%5E2-96%2F24-25%2F24=0
6%28x%2B5%2F12%29%5E2-121%2F24=0
6%28x%2B5%2F12%29%5E2=121%2F24
%28x%2B5%2F12%29%5E2=121%2F144
x%2B5%2F12=0+%2B-+11%2F12
x=-5%2F12+%2B-+11%2F12
x=-16%2F12 and x=6%2F12
highlight%28x=-4%2F3%29 and highlight%28x=1%2F2%29