For a real number x, find the minimum value of x^4 - 2x^2 + 3x^4 - 8x^2.
First, let's combine all like terms in the equation. We have
\(4x^{4}{-10x^{2}}\)
Factoring this equation, we get that
\(2x^{2}\left(2x^{2}-5\right)\)
Now, we can graph this. We have that
So the minimum value is -6.25.
So our final answer is -6.25
Thanks! :)