Question

Two positive integers are 3 units apart on a number line. Their product is 108.

Which equation can be used to solve for m, the greater integer?

a. m(m – 3) = 108
b. m(m + 3) = 108
c. (m + 3)(m – 3) = 108
d. (m – 12)(m – 9) = 108

Answer 1

@Michele_Laino

Answer 2

I think that the right answer can be chosen between the first two options

Answer 3

hint:
if we solve the first quadratic equation, namely:
m^2-3m-108=0, we get:
m=12 and m=-9

Whereas if we solve the second quadratic equation, namely:
m^2+3m-108=0, we get:
m=9 and m=-12

So what is the right option?

Answer 4

a

Answer 5

@Michele_Laino

Answer 6

ok!