SOLUTION: What is the largest of 4 consecutive positive integers if product of the middle two integers is 2 more than 7 times the smallest integer?
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Question 959985: What is the largest of 4 consecutive positive integers if product of the middle two integers is 2 more than 7 times the smallest integer?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the largest of 4 consecutive positive integers if product of the middle two integers is 2 more than 7 times the smallest integer?
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1st: x-2
2nd: x-1
3rd: x
4th: x+1
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Equation:
x(x-1) = 7(x-2)+2
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x^2 - x = 7x - 14 + 2
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x^2 - 8x +12 = 0
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(x-2)(x-6) = 0
x = 2 or x = 6
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If x = 2 the answer is 0,1,2,3
If x = 6 the answer is 4,5,6,7
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Cheers,
Stan H.
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