SOLUTION: Let x be an integer that satisfies x^4 + 24 = 105. What is the value of x^2 − 24?
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Question 725017: Let x be an integer that satisfies x^4 + 24 = 105. What is the value of x^2 − 24?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Subtracting 24:
Finding the 4th root of each side (and remembering that even-numbered roots have a positive and negative root):
or
Since these roots are 3's:
or
Now we can find ...
for x = 3:
for x = -3:
So
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