document.write( "Question 415944: find three consecutive odd intergers such that 4 times the product of the second and third is 12 greater than 20 times the sum of the first and second \n" ); document.write( "

Algebra.Com's Answer #291528 by stanbon(75887) $\"\"$ $\"About$

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find three consecutive odd integers such that 4 times the product of the second and third is 12 greater than 20 times the sum of the first and second
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\n" ); document.write( "1st: 2x-1
\n" ); document.write( "2nd: 2x+1
\n" ); document.write( "3rd: 2x+3
\n" ); document.write( "-------------
\n" ); document.write( "Equation:
\n" ); document.write( "4[(2x+1)(2x+3)] = 20[4x]
\n" ); document.write( "----
\n" ); document.write( "4[4X^2+8x+3] = 80x
\n" ); document.write( "----
\n" ); document.write( "4x^2+8x+3 = 20x
\n" ); document.write( "---
\n" ); document.write( "4x^2-12x+3 = 0
\n" ); document.write( "---
\n" ); document.write( "x = [12 +- sqrt(144 - 4*4*3)]/8
\n" ); document.write( "---
\n" ); document.write( "x = [12 +- sqrt(96)]/8
\n" ); document.write( "---
\n" ); document.write( "x = [12 +- 4sqrt(6)]/8
\n" ); document.write( "----
\n" ); document.write( "x = (3/2) +- sqrt(6)
\n" ); document.write( "==========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "============ \n" ); document.write( "

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