SOLUTION: If the product of two consecutive odd integers is increased by the third of the larger one the result is whose sum 190. Find the two integers

Question 378556: If the product of two consecutive odd integers is increased by the third of the larger one the result is whose sum 190. Find the two integers
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the product of two consecutive odd integers is increased by the third of the larger one the result is whose sum 190. Find the two integers
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1st: 2x-1
2nd: 2x+1
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Equation:
(2x-1)(2x+1)+(1/3)(2x+1) = 190
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4x^2-1 + (1/3)(2x+1) = 190
Multiply thru by 3 to get:
12x^2-3 + 2x+1 = 3*190
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12x^2+2x -2 = 570
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12x^2+2x - 572 = 0
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6x^2 + x - 286 = 0
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Note: I must have interpreted your post incorrectly.
Values of x would not produce integers.
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Cheers,
Stan H.
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