Solve (x+9)^2-100=100

$$( x + 9 ) ^ { 2 } - 100 = 100$$

Solve for x

$$x=10\sqrt{2}-9\approx 5.142135624$$

$$x=-10\sqrt{2}-9\approx -23.142135624$$

Steps by Finding Square Root

Add 100 to both sides of the equation.

$$\left(x+9\right)^{2}-100+100=100+100$$

Subtracting 100 from itself leaves 0.

$$\left(x+9\right)^{2}=100+100$$

Add 100 to 100.

$$\left(x+9\right)^{2}=200$$

Take the square root of both sides of the equation.

$$x+9=10\sqrt{2} x+9=-10\sqrt{2}$$

Subtract 9 from both sides of the equation.

$$x+9-9=10\sqrt{2}-9 x+9-9=-10\sqrt{2}-9$$

Subtracting 9 from itself leaves 0.

$$x=10\sqrt{2}-9 x=-10\sqrt{2}-9$$