Question

Factor x to the fourth-5x squared+4

Answer 1

Work shown below!

Explanation:

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

`A` =
`x^(2)`

`A^(2) -5A+4` =
`0`

`(A-1)(A-4)` =
`0`

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

x - 1 = 0

Add 1 to both sides;

x = 1

x + 1 = 0

Subtract 1 from both sides;

x = -1

x - 2 = 0

Add 2 to both sides;

x = 2

x + 2 = 0

Subtract 2 from both sides;

x = -2