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

Given:

The product of two consecutive positive integers is $306$.

To do:

Here, we have to form the quadratic equation.

Solution:

Let the two consecutive integers be $x$ and $x+1$, where $x$ is the smaller integer.

Therefore,

$x(x + 1) = 306$

$x^2 + x – 306 = 0$

The required quadratic equation is $x^2 + x – 306 = 0$.

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Updated on: 10-Oct-2022

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