Question 725017
{{{x^4 + 24 = 105}}}
Subtracting 24:
{{{x^4 = 81}}}
Finding the 4th root of each side (and remembering that even-numbered roots have a positive and negative root):
{{{x = root(4, 81)}}} or {{{x = -root(4, 81)}}}
Since {{{3^4 = 81}}} these roots are 3's:
{{{x = 3}}} or {{{x = -3}}}
Now we can find {{{x^2-24}}}...
for x = 3:
{{{3^2-24 = 9-24 = -15}}}
for x = -3:
{{{(-3)^2-24 = 9-24 = -15}}}
So {{{x^2-24 = -15}}}