Question

5x² - 500 = 0
solutions ?

Explanation:

Step1: Isolate the \(x^2\) term

Add 500 to both sides of the equation \(5x^2 - 500 = 0\), we get \(5x^2 = 500\). Then divide both sides by 5: \(\frac{5x^2}{5}=\frac{500}{5}\), which simplifies to \(x^2 = 100\).

Step2: Solve for \(x\)

Take the square root of both sides. Remember that if \(x^2 = a\) (\(a\geq0\)), then \(x=\pm\sqrt{a}\). So for \(x^2 = 100\), we have \(x = \pm\sqrt{100}=\pm10\).

Answer:

\(x = 10\) or \(x = - 10\)