Question

Say true or false.

$x^2+x-306=0$ represents a quadratic equation when product of two consecutive positive integers is $306$.

• A. True
• B. False

Answer 1

The correct option is A True

Consider the given equation
$x^2+x-306=0$
We find from the equation that, the product of the roots is $360$. $[\because \frac{-b}{a}=360]$
Let the two consecutive positive integers be $x$ and $x+1$
Since the product of the two consecutive integers is $306$. we have
$\left(x\right)(x+1)=306$.
$\Rightarrow x^2+x=306$
Therefore, the product of two consecutive integers represent the quadratic equation $x^2+x-306=0$.