Question

The product of two consecutive positive integers is 306.we need to find the integer.

Answer 1

Answer:

The integer are 17 and 18

Step-by-step explanation:

Let two consecutive numbers be x and (x + 1)

A/C to question,

product of x and (x + 1) = 306

x(x + 1) = 306

x² + x - 306 = 0

x² + 18x - 17x - 306 = 0

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

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

So, x = 17 and (x +1) = 18

Therefore the numbers are 17 and 18.

Answer 2

Answer:

17 & 18

Step-by-step explanation:

Let the positive integer be 'x'

x( x+1) = 306

x²+x-306 = 0

x²+(18-17)x-306 = 0

x²+18x-17x-306 = 0

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

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

x = -18 (not possible)

x = 17

Hence the two positive consecutive integers are 17 & 18