Question

Represent the given situation in the form of quadratic equation: The product of two consecutive integers is $306$.

Answer 1

Let $x$ and $(x+1)$ be the two consecutive integers.

It is given that the product of two consecutive integers is $306$, therefore,

$x(x+1)=306\Rightarrow x^2+x=306\Rightarrow x^2+x-306=0$

We know that the general form of quadratic equation is $a{x}^2+bx+c=0$ and the equation $x^2+x-306=0$ is of the form $a{x}^2+bx+c=0$.

Hence, the equation $x^2+x-306=0$ is a quadratic equation representation of the given statement.