document.write( "Question 725017: Let x be an integer that satisfies x^4 + 24 = 105. What is the value of x^2 − 24? \n" ); document.write( "

Algebra.Com's Answer #443971 by jsmallt9(3758) $\"\"$ $\"About$

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$\"x%5E4+%2B+24+=+105\"$
\n" ); document.write( "Subtracting 24:
\n" ); document.write( " $\"x%5E4+=+81\"$
\n" ); document.write( "Finding the 4th root of each side (and remembering that even-numbered roots have a positive and negative root):
\n" ); document.write( " $\"x+=+root%284%2C+81%29\"$ or $\"x+=+-root%284%2C+81%29\"$
\n" ); document.write( "Since $\"3%5E4+=+81\"$ these roots are 3's:
\n" ); document.write( " $\"x+=+3\"$ or $\"x+=+-3\"$
\n" ); document.write( "Now we can find $\"x%5E2-24\"$ ...
\n" ); document.write( "for x = 3:
\n" ); document.write( " $\"3%5E2-24+=+9-24+=+-15\"$
\n" ); document.write( "for x = -3:
\n" ); document.write( " $\"%28-3%29%5E2-24+=+9-24+=+-15\"$
\n" ); document.write( "So $\"x%5E2-24+=+-15\"$ \n" ); document.write( "

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