Question

\[x^{4}-30x ^{2}+125=0\]

Answer 1

\(x^4-25x^2-5x^2+125=x^2(x^2-25)-5(x^2-25)=(x^2-5)(x^2-25)\)

Answer 2

can you go any further?

Answer 3

i wanna make sure i have it right

Answer 4

my teacher put make an appropiate substition

Answer 5

Let \(u=x^2\) then you have \(u^2-30u+125=0\iff (u-5)(u-25)=0\iff(x^2-5)(x^2-25)=0\)