Question

The product of two consecutive positive integers is 306. Form the quadratic equation to find the integers, if x denotes the smaller integer.

Answer 1

Given that the smallest integer of 2 consecutive integer is denoted by x

⇒ The two integer will be x and (x + 1)

Product of two integers x(x + 1)

Given that the product is 306

∴ x(x + 1) 306

⇒ x² + x = 306

⇒ x² + x - 306 = 0

∴ The required quadratic equation is x² + x - 306 = 0.