Question

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

Answer 1

Answer: -15

Step-by-step 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