Chapter 9.3, Problem 27E

To determine

To solve: The equation $2x^2-9=11$ using square roots and round the solution to the nearest hundredth.

Answer to Problem 27E

The required solutions are $x=3.16$ and $x=-3.16$ .

Explanation of Solution

Given information:

The given equation $2x^2-9=11$

Calculation:

  $\begin{array}{l}2x^2-9=11\\ 2x^2=20\end{array}$

(Add 9 to each side)

  $x^2=10$

(Divide each side by 2)

  $x=\pm \sqrt{10}$

(Take the square root of each side)

  $x=\pm 3.16$

(Simplify and round to the nearest hundredth)

The solutions are $x=3.16$ and $x=-3.16$ .