Complete the square to turn the equation into the equation (x - p)^2 = q
2x^4 - 5x^2 - 12 = 0
a.) (x^2 - 1.25)^2 = 6
b.) (x^2 - 2.5)^2 = 6
c.) (x^2 - 2.5)^2 = 7.5625
d.) (x^2 - 1.25)^2 = 7.5625
I learned this topic but for some reason I still don't get this one. I think it's because of the 4th power but I can still do the 2nd power. Any tips on how to get this question right next time?
2x^4 - 5x^2 - 12 = 0
x^4 - 5/2 *x^2 - 6 = 0
x^4 - 5/2 *x^2 = 6
take half of the center term, and square it.
x^4 - 5/2 *x^2 +(5/4)^2= 6 +(5/4)^2= 7.5625
(x^2-5/4)^2=7.5625
(x^2-1.25)^2= 7.5625