To solve the equation \(2x^2 = -18\), we start by isolating \(x^2\):
-
Divide both sides by 2: \[ x^2 = \frac{-18}{2} \] This simplifies to: \[ x^2 = -9 \]
-
Next, take the square root of both sides. Since we have a negative number, the solutions will involve imaginary numbers: \[ x = \pm \sqrt{-9} \] This can be rewritten using \(i\), where \(i\) is the imaginary unit: \[ x = \pm 3i \]
Thus, the solutions to the equation \(2x^2 = -18\) are: \[ x = 3i \quad \text{and} \quad x = -3i \]
1 answer