document.write( "Question 156843: The product of two consecutive odd integer is 1 less than 4 times their sum find the two integers \n" ); document.write( "
Algebra.Com's Answer #115680 by ankor@dixie-net.com(22740)\"\" \"About 
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The product of two consecutive odd integer is 1 less than 4 times their sum find the two integers
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\n" ); document.write( "The two consecutive odd integers: x, (x+2)
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\n" ); document.write( "write an equation for what it says:
\n" ); document.write( "x(x+2) = 4[x + (x+2)] -1
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\n" ); document.write( "x^2 + 2x = 4(2x+2) - 1
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\n" ); document.write( "x^2 + 2x = 8x + 8 - 1
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\n" ); document.write( "x^2 + 2x = 8x + 7
\n" ); document.write( "Arrange as a quadratic equation
\n" ); document.write( "x^2 + 2x - 8x - 7 = 0
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\n" ); document.write( "x^2 - 6x - 7 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(x-7)(x+1) = 0
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\n" ); document.write( "x = +7
\n" ); document.write( "and
\n" ); document.write( "x = -1
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\n" ); document.write( "The integers: 7, 9 and -1,+1
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"The product of two consecutive odd integer is 1 less than 4 times their sum
\n" ); document.write( "x=7: 7*9 = 4(16) - 1
\n" ); document.write( "x=-1: -1*1 = 4(-1+1) - 1
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