Question

ii. The product of two consecutive positive intepens is 306. We need to find the integers.
​

Answer 1

Answer:

Let the integers be = x , (x+1)

since the product is equal to 306

therefore,

x * (x+1) = 306

x^2 + x = 306

x^2 + x - 306 =0

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

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

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

x - 17 = 0 and x +18 = 0

x = 17 and x = -18

since the integers should be positive

therefore,

-18 is not valid

17 is valid

so, the integers are = x, (x+1)

= 17 , (17+1)

= 17 , 18