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The product of two consecutive positive integers is 247. If the smaller of these two integers is represented by x, which of the following will co
Question

The product of two consecutive positive integers is 247. If the smaller of these two integers is represented by x, which of the following will correspond to the equation for finding out the value of x?​

A.

x² − x + 247 = 0

B.

x² + x + 247 = 0

C.

x² + x − 247 = 0

D.

x² − x − 247 = 0

Correct option is C

Given:

Product of two consecutive positive integers = 247

Solution: 

Let the smaller integer be x, then the next consecutive integer = x + 1

So, x(x + 1) = 247

x2+x=247x^2 + x = 247​​

x2+x247=0x^2 + x - 247 = 0​​

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