Solve y=sqrt{x-1}562

$$y = \sqrt{ x-1 } 562$$

Solve for x

$$x=\frac{y^{2}+315844}{315844}$$

$$y\geq 0$$

Steps for Solving Radical Equations

Swap sides so that all variable terms are on the left hand side.

$$562\sqrt{x-1}=y$$

Divide both sides by 562.

$$\frac{562\sqrt{x-1}}{562}=\frac{y}{562}$$

Dividing by 562 undoes the multiplication by 562.

$$\sqrt{x-1}=\frac{y}{562}$$

Square both sides of the equation.

$$x-1=\frac{y^{2}}{315844}$$

Add 1 to both sides of the equation.

$$x-1-\left(-1\right)=\frac{y^{2}}{315844}-\left(-1\right)$$

Subtracting -1 from itself leaves 0.

$$x=\frac{y^{2}}{315844}-\left(-1\right)$$

Subtract -1 from \frac{y^{2}}{315844}.

$$x=\frac{y^{2}}{315844}+1$$

Solve for x (complex solution)

$$x=\frac{y^{2}+315844}{315844}$$

$$arg(y)<\pi \text{ or }y=0$$

Solve for y (complex solution)

$$y=562\sqrt{x-1}$$

Solve for y

$$y=562\sqrt{x-1}$$

$$x\geq 1$$