Question 1085089
2 integers have a sum of 35. The sum of their squares is 637. Find the numbers.
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35 = 5*7
637 = 13*7^2
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--> 2*7 & 3*7
= 14 & 21
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The long way:
x + y = 35 --> y = 35-x
x^2 + y^2 = 637
Sub for y
x^2 + (35-x)^2 = 637
2x^2 - 70x + 1225 = 637
2x^2 - 70x + 588 = 0
x^2 - 35x + 294 = 0
(x-14)*(x-21) = 0
etc.