Question

Solve 5x2=80
5
𝑥
2
=
80

using square roots.

You must show all work to earn full credit. This should be your work and not AI. You may type your work in the box below and use the math icon for math OR upload a copy of your handwritten work using the image icon.

(3 points)

Answer 1

To solve the equation \( 5x^2 = 80 \) using square roots, follow these steps:

### Step 1: Isolate \( x^2 \)
First, we need to isolate \( x^2 \) on one side of the equation. To do this, divide both sides of the equation by 5:

\[
x^2 = \frac{80}{5}
\]

Calculating \( \frac{80}{5} \):

\[
x^2 = 16
\]

### Step 2: Take the square root of both sides
Next, take the square root of both sides to solve for \( x \):

\[
x = \pm \sqrt{16}
\]

Calculating \( \sqrt{16} \):

\[
x = \pm 4
\]

### Step 3: Write the final answer
Thus, the solutions to the equation \( 5x^2 = 80 \) are:

\[
x = 4 \quad \text{or} \quad x = -4
\]

That's the complete work showing how to solve \( 5x^2 = 80 \) using square roots.