5x^4=5x

Can you please help

4 answers

5x^4=5x
x^4 - x = 0
x(x^3 - 1) = 0
x = 0 or x^3 = 1
x = 0 or x = 1

There are also two complex roots, but I don't think you have studied that.
Let me know if you did.
Yes I have but how to you find them
the above factor of x^3 - 1 factors to
(x-1)(x^2 + x + 1)

the x-1 = 0 gave us x = 1

x^2 + x + 1 = 0
x = (-1 ±√-3)/2
or
x = (-1 ± i√3)/2
Thank you