SOLUTION: Use the method of completing the square to transform the quadratic equation into the equation form (x – p)2 = q. -12 + -5x2 + 2x4 = 0

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Question 967930: Use the method of completing the square to transform the quadratic equation into the equation form (x – p)2 = q.
-12 + -5x2 + 2x4 = 0

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Treat the equation through substitution this way:

w=x%5E2
-
2w%5E2-5w-12=0
2w%5E2-5w=12
2%28w%5E2-%285%2F2%29w%29=12
2%28w%5E2-%285%2F2%29w%2B%285%2F4%29%5E2%29=12%2B2%2A%285%2F4%29%5E2, careful about the details in this step. Accounting is done for the factor of 2 on the left member, and adjusted for this on the right member.

2%28w-%285%2F4%29%29%5E2=12%2B2%2A25%2F16
2%28w-%285%2F4%29%29%5E2=12%2B25%2F8
%28w-%285%2F4%29%29%5E2=6%2B25%2F16
%28w-%285%2F4%29%29%5E2=%2896%2B25%29%2F16
%28w-%285%2F4%29%29%5E2=121%2F16
Square ROOT of both sides:
%28w-%285%2F4%29%29=11%2F4-------actually, PLUS or MINUS.
Substitute BACK for w.
x%5E2-5%2F4=0%2B-+11%2F4
x%5E2=5%2F4%2B-+11%2F4, and your other variable for the form is p=0; so you can say
%28x-0%29%5E2=5%2F4%2B-+11%2F4
OR
highlight%28%28x-0%29%5E2=%285%2B-+11%29%2F4%29