The product of two consecutive odd numbers is 675. If the smaller odd number is $x$ , then the quadratic equation formed by the given data will be.

x^{2} + 2 x + 675 = 0

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x^{2} + 2 x - 675 = 0

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x^{2} + 3 x - 675 = 0

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Solution

The correct option is B $x^{2} + 2 x - 675 = 0$
Given, the smaller odd number be $x$ .
Hence, the other number will be $(x + 2)$ .
Given that, $x (x + 2) = 675$
$\Rightarrow x^{2} + 2 x = 675$
$\Rightarrow x^{2} + 2 x - 675 = 0$

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