Solve 5x2=80

Question

5
𝑥
2
=
80

using square roots.

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(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.