Answer:
Let one number = x
Let the other number = x + 2
Use these variables to establish appropriate equations.
x2 + (x + 2)2 = 52
Solve for x from this equation. Expand any terms to get rid of parentheses.
x2 + x2 + 4x + 4 = 52
Combine any like terms.
2x2 + 4x - 48 = 0
WE now have a quadratic equation. Factor out a 2.
2(x2 + 2x - 24) = 0
Factor completely.
2(x + 6)(x - 4) = 0
Set the binomial factors equal to zero.
x + 6 = 0 and x - 4 = 0
Solve for x from these parts. Choose the positive x value.