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Likurg_2 [28]
3 years ago
13

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

Mathematics
1 answer:
NeTakaya3 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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(3 - 2i) (3 + 2i)

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distribute parentheses:
a(b + c) = ab + ac
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Simplify:
4(3) + 4(2i)
12    +    8i


4(3) + 4(2i)
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Multiply the numbers: 4(2) = 8
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   12 + 8i
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Group the real par, and the imaginary part of the complex numbers:


Your answer is: 12/13 + 8i/13





Hope that helps!!!
7 0
3 years ago
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