Chapter 12.1, Problem 6WE

To determine

To solve: The equation $6t^2=156$ and express irrational solution in simplest radical form.

Answer to Problem 6WE

The solution set is $\left(\sqrt{26},-\sqrt{26}\right)$ .

Explanation of Solution

Given information:

The given equation $6t^2=156$ .

Calculation:

  $\begin{array}{l}\Rightarrow 6t^2=156\\ \Rightarrow \frac{6t^2}{6}=\frac{156}{6}\end{array}$

(Divide by 6 on both sides)

  $\begin{array}{l}\Rightarrow t^2=26\\ \Rightarrow t=\pm \sqrt{26}\end{array}$

Therefore, the solution set is $\left(\sqrt{26},-\sqrt{26}\right)$ .