Chapter 4.1, Problem 25E

To determine

whether 1 is a root of $a^4-13a^2+12a=0$ .

Answer to Problem 25E

Yes

Explanation of Solution

Given information: $a^4-13a^2+12a=0$ .

Calculation:

To determine if 1 is a root of this equation, plug it in.

If we find that a = 1 does satisfy $a^4-13a^2+12a=0,$

Then $a=1$ is a root

  $a^4-13a^2+12a=0$

  $\begin{array}{l}{\left(1\right)}^4-13{\left(1\right)}^2+12\left(1\right)=0\\ 1-13+12=0\\ 0=0\\ \to \text{Yes}\end{array}$