Question

Find the solution by grouping

Answer 1

Explanation:

`x^(5) -x^(4)-2x^(3) +2x^(2) =0\\\\x^(4) (x-1) -2x^(2) (x-1) =0\\\\(x^(4) -2x^(2) ) (x-1)=0\\\\ x^(2) (x^(2) -2)(x-1) =0`

solutions are

x² =0 so x=0

x²-2 = 0 so x= ±√2

x-1 =0 so x= 1