The numbers $x$, and $\left( x+1 \right)$ are two consecutive positive integers. The sum of the squa

Question

The numbers $x$, and $\left( x+1 \right)$ are two consecutive positive integers. The sum of the squares is $265$. Use this information to form an equation in terms of $x$. Find the two integers.

Accepted Answer

(a) $x^2+(x+1)^2=265$ (b) $11$ and $12$

Quadratic Equation from Consecutive Integers

Quadratic Equation from Consecutive Integers

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