Question

quadratic square root
2x² - 26 = 0

Explanation:

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

Add 26 to both sides of the equation \(2x^2 - 26 = 0\):
\(2x^2 = 26\)

Step2: Solve for \(x^2\)

Divide both sides by 2:
\(x^2 = \frac{26}{2} = 13\)

Step3: Take square roots

Take the square root of both sides. Remember, a square root has two solutions (positive and negative):
\(x = \pm\sqrt{13}\)

Answer:

\(x = \sqrt{13}\) or \(x = -\sqrt{13}\) (or approximately \(x \approx 3.6055\) or \(x \approx -3.6055\))