Question

Find two integers whose product is 186 such that one of the integers is five less than six × the other integer.

a) (3, 62)
b) (6, 31)
c) (9, 20)
d) (12, 15)

Answer 1

The two integers whose product is 186 and one is five less than six times the other are 12 and 15.

Step-by-step explanation:

To find two integers whose product is 186 and one is five less than six times the other, we can set up the equation:

x(x + 5) = 186

Simplifying and multiplying:

x² + 5x - 186 = 0

This is a quadratic equation that can be factored as (x - 14)(x + 19) = 0

So, the two integers are 14 and -19. However, both integers must be positive. Therefore, the correct answer is (12, 15), option d.