nathaliemontgomery
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  • 15-02-2021
  • Mathematics
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A positive real number is 4 more than another. When -8 times the smaller is added to
the square of the larger, the result is 61. Find the numbers

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DWRead
DWRead DWRead
  • 15-02-2021

Answer:

Step-by-step explanation:

x = y+4

x > y

x² - 8y = 61

(y+4)² - 8y = 61

y² + 8y + 16 - 8y = 61

y² + 16 = 61

y² = 45

y = √45 = 3√5

x = y+4 = 4+3√5

3√5 and 4+3√5

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