Chapter 9, Problem 19CR

To determine

To solve the equation using square roots.

Answer to Problem 19CR

  $x=\sqrt{\frac{11}{5}}$ is the solution.

Explanation of Solution

Given information:

  $19=30-5x^2$

Calculation:

The given equation is $19=30-5x^2$

Subtracting 30 from both sides of equation,

  $19-30=30-30-5x^2$

Solving,

  $-11=-5x^2$

Dividing equation by -5,

  $\frac{-11}{-5}=x^2$

Rooting both sides,

  $x=\sqrt{\frac{11}{5}}$

Hence, $x=\sqrt{\frac{11}{5}}$ is the solution.