5=(3+x)² + (2+x)²
5 = (9 + 6x + x²) + (4 + 4x + x²)
5 = 9 + 6x + x² + 4 + 4x + x²
5 = 13 + 10x + 2x²
Rearranging the equation:
2x² + 10x - 8 = 0
Dividing by 2:
x² + 5x - 4 = 0
Factoring the quadratic equation:
(x + 4)(x - 1) = 0
So, x = -4, 1
5=(3+x)² + (2+x)²
5 = (9 + 6x + x²) + (4 + 4x + x²)
5 = 9 + 6x + x² + 4 + 4x + x²
5 = 13 + 10x + 2x²
Rearranging the equation:
2x² + 10x - 8 = 0
Dividing by 2:
x² + 5x - 4 = 0
Factoring the quadratic equation:
(x + 4)(x - 1) = 0
So, x = -4, 1