The sum of the squares of two consecutive odd numbers i... – Algebra

Algebrahard · Past Paper

The sum of the squares of two consecutive odd numbers is 290. Find the numbers.

A11, 13

B13, 15

C9, 11

D7, 9

✓ Correct Answer: A — 11, 13

x^2 + (x+2)^2 = 290 => 2x^2 + 4x - 286 = 0 => x^2 + 2x - 143 = 0 => (x+13)(x-11)=0. x=11.

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