document.write( "Question 1015390: The sum of the squares of 2 positive consecutive odd numbers is 130. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #631743 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "x=first integer; x+2=second integer
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\n" ); document.write( " $\"x%5E2%2B%28x%2B2%29%5E2=130\"$
\n" ); document.write( " $\"x%5E2%2Bx%5E2%2B4x%2B4=130\"$
\n" ); document.write( " $\"2x%5E2%2B4x-126=0\"$
\n" ); document.write( " $\"%282x-14%29%28x%2B9%29=0\"$
\n" ); document.write( " $\"2x-14=0\"$ $\"OR\"$ $\"x%2B9=0\"$
\n" ); document.write( " $\"2x=14\"$ $\"OR\"$ $\"x=-9\"$
\n" ); document.write( " $\"x=7\"$ $\"OR\"$ $\"x=-9\"$
\n" ); document.write( "Since -9 is not positive, the first number is 7.
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\n" ); document.write( "Second integer=x+2=7+2=9
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\n" ); document.write( "ANSWER: The numbers are 7 and 9.
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\n" ); document.write( "CHECK:
\n" ); document.write( ".
\n" ); document.write( " $\"7%5E2%2B9%5E2=130\"$
\n" ); document.write( " $\"49%2B81=130\"$
\n" ); document.write( " $\"130=130\"$
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