Question

The product of two consecutive positive integers is $306$. Form the quadratic equation to find $x$, if $x$ denotes the smaller integer.

Answer 1

Let the numbers be $x,x+1$

$\left(x\right)(x+1)=306$

$⟹x^2+x-306=0$ this is the quadratic equation to find $x$

$⟹x^2-18x+17x-306=0$

$⟹x(x-18)+17(x-18)=0$

So, $x=18,-17$