Solve sqrt{s}-k=1

$$\sqrt { s } - k = 1$$

Solve for k

$$k=\sqrt{s}-1$$

$$s\geq 0$$

Steps for Solving Linear Equation

Subtract \sqrt{s} from both sides.

$$-k=1-\sqrt{s}$$

The equation is in standard form.

$$-k=-\sqrt{s}+1$$

Divide both sides by -1.

$$\frac{-k}{-1}=\frac{-\sqrt{s}+1}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$k=\frac{-\sqrt{s}+1}{-1}$$

Divide 1-\sqrt{s} by -1.

$$k=\sqrt{s}-1$$

Solve for s

$$s=\left(k+1\right)^{2}$$

$$k+1\geq 0$$

Steps for Solving Radical Equations

Subtract -k from both sides of the equation.

$$\sqrt{s}-k-\left(-k\right)=1-\left(-k\right)$$

Subtracting -k from itself leaves 0.

$$\sqrt{s}=1-\left(-k\right)$$

Subtract -k from 1.

$$\sqrt{s}=k+1$$

Square both sides of the equation.

$$s=\left(k+1\right)^{2}$$