Question

2x² - 5 = 45

Explanation:

Assuming the equation is \(2x^2 - 5 = 45\) (correcting the typo in the original writing).

Step 1: Isolate the \(x^2\) term

Add 5 to both sides of the equation:
\(2x^2 - 5 + 5=45 + 5\)
\(2x^2=50\)

Step 2: Solve for \(x^2\)

Divide both sides by 2:
\(\frac{2x^2}{2}=\frac{50}{2}\)
\(x^2 = 25\)

Step 3: Solve for \(x\)

Take the square root of both sides:
\(x=\pm\sqrt{25}\)
\(x=\pm5\)

Answer:

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