document.write( "Question 160300This question is from textbook Algebra & Trigonometry Structure and Method
\n" ); document.write( ": Find two consecutive odd integers that the sum of whose squares is 130
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Find two consecutive odd integers that the sum of whose squares is 130.
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\n" ); document.write( "Let x = first consecutive odd integer
\n" ); document.write( "x+2 = second consecutive odd integer
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\n" ); document.write( "x^2 +(x+2)^2 = 130
\n" ); document.write( "x^2 +(x^2+4x+4) = 130
\n" ); document.write( "2x^2+4x+4 = 130
\n" ); document.write( "2x^2+4x-126 = 0
\n" ); document.write( "x^2+2x-63 = 0
\n" ); document.write( "(x-7)(x-9) = 0
\n" ); document.write( "x = (7,9)
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\n" ); document.write( "Solution: 7 and 9
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