Answer: -15
Step-by-step explanation:
[tex]x^{4}[/tex] + 24 = 105
subtract 24 from both sides of the equation .
[tex]x^{4}[/tex] = 105 - 24
[tex]x^{4}[/tex] = 81
find the fourth root of both sides
x = 3
Therefore : substitute x = 3 to find the value of [tex]x^{2} -24[/tex]
[tex]x^{2}[/tex] - 24 = [tex]3^{2}[/tex] - 24
= 9 - 24
= - 15
