Question 230534
the sum of the squares of two consecutive odd integers is 173. find the integers
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This is not possible.
The square of an odd number is an odd number.
Any 2 odd numbers add to an even number, so it can't be 173.
Any 2 even numbers also add to an even number, so there are no integers that do this.
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x^2 + (x+2)^2 = 173
2x^2 + 4x + 4 = 173
2x^2 + 4x - 169 = 0
*[invoke solve_quadratic_equation 2,4,-169]