Dos numeros naturales se diferencian en 7 unidades y la suma de sus cuadrados es 289
1 answer:
Answer:
15 y 8
Step-by-step explanation:
y = x - 7
x² + y² = 289
sustituir: x² + (x - 7)² = 289
distribuir: x² + x² - 14x + 49 = 289
sustraer + simplificar: 2x² - 14x - 240 = 0
dividir: x² - 7x - 120 = 0
x² - 15x + 8x - 120 = 0
(x - 15)(x + 8) = 0
x = 15, x = -8 --> x ≠ -8 porque -8 no es naturales
sustituir: y = 15 - 7
simplificar: y = 8
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