If the square of a-2a-13 = 0, the square of b-2b-13 = 0, a is not equal to B, find a square + b square

It is suggested that a and B should be regarded as two unequal real number roots of the quadratic equation x & # 178; - 2x-13 = 0
A²+B²=(A+B)²-2AB
It can be obtained by using the Veda theorem

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