Chapter 9.3, Problem 1P

(a)

To determine

The solution of the given equation.

Answer to Problem 1P

  $x=\pm 4$

Explanation of Solution

Given:

The given equation is:

  $x^2-16=0$

Calculation:

The related function will be:

  $y=x^2-16$

The graph will be:

  

Hence, the solutions will be:

  $x=\pm 4$

(b)

To determine

The solution of the given equation.

Answer to Problem 1P

No solution.

Explanation of Solution

Given:

The given equation is:

  $3x^2+6=0$

Calculation:

The related function will be:

  $y=3x^2+6$

The graph will be:

  

Hence, there will be no solution.

(c)

To determine

The solution of the given equation.

Answer to Problem 1P

  $x=0$

Explanation of Solution

Given:

The given equation is:

  $x^2-25=-25$

Calculation:

The related function will be:

  $\begin{array}{l}{x}^2-25=-25\\ x^2-25+25=0\\ x^2=0\end{array}$

The graph will be:

  

Hence, the solutions will be:

  $x=0$