Question

4x² - 100 = 0
solutions ?

Explanation:

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

First, we add 100 to both sides of the equation \(4x^2 - 100 = 0\) to get \(4x^2 = 100\). Then, we divide both sides by 4: \(\frac{4x^2}{4}=\frac{100}{4}\), which simplifies to \(x^2 = 25\).

Step2: Solve for \(x\)

To solve for \(x\), we take the square root of both sides. Remember that when we take the square root of a number, we get both a positive and a negative solution. So, \(x=\pm\sqrt{25}\), and since \(\sqrt{25} = 5\), we have \(x = 5\) or \(x=- 5\).

Answer:

\(x = 5\) or \(x=-5\)