How many solutions does 5x^2=50 have

Answer 1

To determine how many solutions the equation \(5x^2 = 50\) has, we can start by simplifying the equation.

1. Divide both sides by 5:

\[ x^2 = 10 \]

2. Next, take the square root of both sides:

\[ x = \pm \sqrt{10} \]

Thus, there are two solutions:

\[ x = \sqrt{10} \quad \text{and} \quad x = -\sqrt{10} \]

So, the equation \(5x^2 = 50\) has two solutions.