Question

A positive real number is 2 less than another. When 4 times the larger is added to the

square of the smaller, the result is 16. Find the numbers.

Answer 1

See below

Explanation:

x is the smaller number

x + 2 is the other (larger) number

4 (x+2) + x^2 = 16

4x + 8 + x^2

x^2 + 4x - 8 = 0

x = 1.4641 via Quadratic Formula ( the positive value)

the other number is 3.4641