document.write( "Question 377641: Find three consecutive integers such that four times the sum of all three is 2 times the product of the larger two.\r
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Algebra.Com's Answer #268380 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi,
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document.write( "Let x, (x+1) and (x+2) represent the three consecutive integers
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document.write( "Write as we Read***
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document.write( "4[x + (x+1) + (x+2)]=2(x+1)(x+2)
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document.write( "solving for s
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document.write( "4x + 4x + 4 + 4x + 8 = 2[x^2 + 3x + 2]
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document.write( "12x + 12 = 2x^2 + 6x + 4
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document.write( "2x^2 -6x - 8 = 0
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document.write( "x^2 - 3x  -4 = 0
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document.write( "(x-4)(x+1) = 0
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document.write( "(x-4)=0  x = 4 three consecutive integers are 4,5,6
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document.write( "(x+1)=0  x = -1 three consecutive integers are -1,0,1
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document.write( "CHECKING our Answers***
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document.write( "4 * 15 = 2*30 = 60
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document.write( "4 * 0 = 2 * 0*1 = 0 \n" );
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