Solve 5x2=80

Question

using square roots.

Answer 1

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

1. Isolate \( x^2 \): Divide both sides of the equation by 5:

   \[ x^2 = \frac{80}{5} = 16 \]

2. Take the square root: Now take the square root of both sides. Remember that this will yield both the positive and negative solutions:

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

   Thus,

   \[ x = \pm 4 \]

So the solutions to the equation \( 5x^2 = 80 \) are:

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