Q 286 - Intermediate Algebra

Question

In the following exercises, solve:

$n^2= 5 - 6n$

Step-by-Step Solution

Answer

There are no factor pairs in the quadratic equation and the given quadratic equation is prime.

Step 1. Given Information

The given quadratic equation is $n^2= 5 - 6n.$

We have to solve the quadratic equation by factoring.

Step 2. Factor the quadratic expression

First, write the given equation in standard form.

The standard form of the quadratic equation is

$a{x}^2+bx+c=0$

Therefore,

$$\begin{gathered} n^2= 5 - 6n \\ {n}^2+6n-5=0 \end{gathered}$$

There are no factor pairs in the quadratic expression.

The given quadratic equation is prime.