make y the subject of the following y^2 = k + x

Answer 1

To isolate \( y \) in the equation \( y^2 = k + x \), follow these steps:

1. Start with the equation: \[ y^2 = k + x \]

2. Take the square root of both sides. Remember to consider both the positive and negative roots: \[ y = \pm \sqrt{k + x} \]

Thus, \( y \) can be expressed as: \[ y = \sqrt{k + x} \quad \text{or} \quad y = -\sqrt{k + x} \]

So, \( y \) is the subject of the equation with both possible values.