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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# 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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Let us consider,

The first integer number =Â x

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

Product of two consecutive integers =Â xÂ Ã—Â (xÂ +1) = 306

â‡’Â x

^{2Â }+Â xÂ = 306â‡’Â x

^{2Â }+Â xÂ â€“ 306 = 0Therefore, the two integers x and x+1, satisfies the quadratic equation, x

^{2Â }+Â xÂ â€“ 306 = 0, which is the required representation of the problem mathematically.