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4² = 16
5² = 25
16+25 = 41
Saludos...
Su consecutivo = x + 1
Resolvemos :
x (x + 1)² = 41
x² + x² + 2x + 1 = 41
2x² + 2x + 1 = 41
2x² + 2x + 1 - 41 = 0
2x² + 2x - 40 = 0
2 (x² + x - 20) = 0
x² + x - 20 = 0
x₁ = 4
x₂ = -5
Solución : Los números son : 4 y - 5
Comprobamos :
(4)² = 16
(-5)² = 25
Sumamos sus cuadrados : 16 + 25 = 41