The sum of the squares of 2 consecutive positive events integers is 340

Answer 1

Hi Jim, let x represent the first number and x + 2 represent the second number.

Equation to solve:

x² + (x + 2)² = 340

Expand:

x² + x² + 4x + 4 = 340

Collect terms:

2x² + 4x - 336 = 0

Solve for x using quadratic formula:

x = 12 or x = -14

Since the question asks for positive values, the -14 answer can be discarded.

Solution:

First number: x = 12.

Second number: x + 2 = 12 + 2 = 14.

Check:

12² + 14² = 340

144 + 196 = 340

340 = 340

Questions?