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Question
The product of two consecutive positive integers is 306. Form the quadratic equation to find the integers, if x denotes the smaller integer.
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
⇒ x2 + x = 306
⇒ x2 + x - 306 = 0
∴ The required quadratic equation is x2 + x - 306 =0
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