Question

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

Answer 1

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