document.write( "Question 372543: if the square of a number is decreased by 15, the result is equal to the number increased by 15. what is the number? \n" ); document.write( "

Algebra.Com's Answer #265347 by Earlsdon(6294) $\"\"$ $\"About$

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Let n = the number.
\n" ); document.write( " $\"n%5E2-15+=+n%2B15\"$ \"...the square of a number (n) is decreased by 15, the result is equal to the number increased by 15.\"
\n" ); document.write( "Add 15 to both sides.
\n" ); document.write( " $\"n%5E2+=+n%2B30\"$ Subtract n from both sides.
\n" ); document.write( " $\"n%5E2-n+=+30\"$ Subtract 30 from both sides.
\n" ); document.write( " $\"n%5E2-n-30+=+0\"$ Solve this quadratic equation by factoring.
\n" ); document.write( " $\"%28n%2B5%29%28n-6%29+=+0\"$
\n" ); document.write( " $\"n+=+-5\"$ or $\"n+=+6\"$
\n" ); document.write( "As you can see, there are two answers:
\n" ); document.write( "-5 and 6 \n" ); document.write( "

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