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

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#### Solution

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

⇒ x^{2} + x = 306

⇒ x^{2} + x - 306 = 0

∴ The required quadratic equation is x^{2} + x - 306 =0

Concept: Quadratic Equations

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