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2 years ago

Dos numeros naturales se diferencian en 7 unidades y la suma de sus cuadrados es 289

Mathematics

1 answer:

NeTakaya2 years ago

6 0

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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2 years ago

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taurus [48]

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2 years ago