SOLUTION: two positive whole numbers differ by 2 . If the sume of their square is 74 find the numbers
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Question 506664: two positive whole numbers differ by 2 . If the sume of their square is 74 find the numbers
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
two positive whole numbers differ by 2 . If the sum of their square is 74 find the numbers
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Let one of the numbers be "x".
Then the other one is "x+2".
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Equation:
x^2 + (x+2)^2 = 74
x^2 + x^2+4x+4 = 74
2x^2 + 4x = 70
x^2 + 2x -35 = 0
(x+7)(x-5) = 0
Positive solution:
x = 5
x+2 = 7
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Cheers,
stan H.
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