What are two numbers that have a product of 57.2045 when one number is greater than the other number by 3.56 showing work?

Answer 1

let one number by x; then:

the other number is x + 3.56;

their product is x(x + 3.56) = 57.2045

→ x² + 3.56x = 57.2045

→ x² + 3.56x - 57.2045 = 0

→ (x - 5.99)(x + 9.55) = 0

→ x - 5.99 = 0 → x = 5.99 and the other number is 9.55

or x + 9.55 = 0 → x = -9.55 and the other number is -5.99