Solve (x-3)^2=17

$$( x - 3 ) ^ { 2 } = 17$$

Solve for x

$$x=\sqrt{17}+3\approx 7.123105626$$

$$x=3-\sqrt{17}\approx -1.123105626$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x-3=\sqrt{17} x-3=-\sqrt{17}$$

Add 3 to both sides of the equation.

$$x-3-\left(-3\right)=\sqrt{17}-\left(-3\right) x-3-\left(-3\right)=-\sqrt{17}-\left(-3\right)$$

Subtracting -3 from itself leaves 0.

$$x=\sqrt{17}-\left(-3\right) x=-\sqrt{17}-\left(-3\right)$$

Subtract -3 from \sqrt{17}.

$$x=\sqrt{17}+3$$

Subtract -3 from -\sqrt{17}.

$$x=3-\sqrt{17}$$

The equation is now solved.

$$x=\sqrt{17}+3 x=3-\sqrt{17}$$