Question

quadratic square root
4x² - 20 = 0
solutions ?

Explanation:

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

Add 20 to both sides of the equation \(4x^2 - 20 = 0\):
\(4x^2 = 20\)

Step2: Solve for \(x^2\)

Divide both sides by 4:
\(x^2 = \frac{20}{4} = 5\)

Step3: Take square roots

Take the square root of both sides. Remember, a square root has two solutions (positive and negative):
\(x = \pm\sqrt{5}\)

Answer:

\(x = \sqrt{5}\) or \(x = -\sqrt{5}\) (or approximately \(x \approx 2.24\) or \(x \approx -2.24\))