Question

The product of two consecutive positive integers is 306.Find the integers?

Answer 1

Answer:

Step-by-step explanation:

Let's take two consecutive positive integers are a and b

Then b=a+1

Product is 306

306=a*b

306=a(a+1)

306=a^2+a

a^2+a-306=0

(a+18)(a-17)=0

a=17 or a= -18

Positive integer is 17

Integers are 17 and 18

Answer 2

Assume p and p + 1 be consecutive integers

Then

p(p + 1) = 306

p^2 + p = 306

p^2 + p - 306 = 0

p^2 + 18p - 17p - 306 = 0

p(p + 18) - 17(p + 18) = 0

(p - 17)(p + 18) = 0

p = 17

p = -18

★Rejecting p = -18 as because we have positive number.

★Hence

★Two integers are 17 and 18.