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\left(x-2\right)^{2}+4-4=9-4
Subtract 4 from both sides of the equation.
\left(x-2\right)^{2}=9-4
Subtracting 4 from itself leaves 0.
\left(x-2\right)^{2}=5
Subtract 4 from 9.
x-2=\sqrt{5} x-2=-\sqrt{5}
Take the square root of both sides of the equation.
x-2-\left(-2\right)=\sqrt{5}-\left(-2\right) x-2-\left(-2\right)=-\sqrt{5}-\left(-2\right)
Add 2 to both sides of the equation.
x=\sqrt{5}-\left(-2\right) x=-\sqrt{5}-\left(-2\right)
Subtracting -2 from itself leaves 0.
x=\sqrt{5}+2
Subtract -2 from \sqrt{5}.
x=2-\sqrt{5}
Subtract -2 from -\sqrt{5}.
x=\sqrt{5}+2 x=2-\sqrt{5}
The equation is now solved.