Question

The product of two consecutive odd numbers is 675. If the smaller odd number is $x$, then the representation of the given condition in the form of quadratic equation is ____________.

• A. $x^2-3x-675=0$
• B. $x^2+3x-675=0$
• C. $x^2+2x+675=0$
• D. $x^2+2x-675=0$

Answer 1

The correct option is D $x^2+2x-675=0$

Given, the smaller odd number be $x$.
Hence, the other number will be $(x+2)$.
Given that, $x(x+2)=675$
$\Rightarrow x^2+2x=675$
$\Rightarrow x^2+2x-675=0$