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Q: A squared plus b squared equals 26 where a equals b find a and b?

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2 times 13 = 26 26 also = 1 squared + 5 squared

No answer in integers. Quadratic formula gives roots of x2 + x - 26 = 0 as 5.625 and -4.625

15x26=390

x2 = (26 + x)2 Taking square roots: x = +/-(26 + x) Then x = 26 + x or x = -26 -x The first gives a nonsense "equation" 0 = 26 but the second gives 2x = -26 or x = -13

How about 20 plus 6 equals 26 as one example

It works out exactly as: 7 times the square root of 26

26 + 8 = 34

n = 26

40

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