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AnilSinghBora
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Represent the following situations in the form of quadratic equations: (ii) The product of two consecutive positive integers is 306. We need to find the integers. Q.2(2)

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The second part of question no 2 of exercise 4.1 of 10th math class. I don’t know how to solve this question. Please help me solving this question. Represent the following situations in the form of quadratic equations: (ii) The product of two consecutive positive integers is 306. We need to find the integers.

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  1. Let us consider,

    The first integer number = x

    Thus, the next consecutive positive integer will be = x + 1

    Product of two consecutive integers = x × (x +1) = 306

    ⇒ x+ x = 306

    ⇒ x+ x – 306 = 0

    Therefore, the two integers x and x+1, satisfies the quadratic equation, x+ x – 306 = 0, which is the required representation of the problem mathematically.

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