Question

Let x be an integer that satisfies x^4 + 24 = 105. what is the value of x^2 - 24?

Answer 1

Answer: -15

Explanation:

`x^(4)` + 24 = 105

subtract 24 from both sides of the equation .

`x^(4)` = 105 - 24

`x^(4)` = 81

find the fourth root of both sides

x = 3

Therefore : substitute x = 3 to find the value of
`x^(2) -24`

`x^(2)` - 24 =
`3^(2)` - 24

= 9 - 24

= - 15