213k views
2 votes
Determine if the given values are solutions of the equation.

Determine if the given values are solutions of the equation.-example-1

1 Answer

3 votes

Given the equation:


x^2-16=0

Given the solutions:

• x = -2

,

• x = 2

,

• x = 4

Let's determine the correct values of the solution.

Let's solve the equation for x.

Add 16 to both sides:


\begin{gathered} x^2-16+16=0+16 \\ \\ x^2=16 \end{gathered}

Take the square root of both sides:


\begin{gathered} \sqrt[]{x^2}=\pm\sqrt[]{16} \\ \\ x=\pm4 \\ \\ x=-4,\text{ 4} \end{gathered}

Therefore, the solutions of the equation are:

x = -4, x = 4

Therefore, we have:

• x = -2

No, it is not a solution

• x = 2

No, it is not a solution.

• x = 4

Yes, it is a solution.

User Dufaux
by
6.8k points