Solve for x
x=2\sqrt{2}+2\approx 4.828427125
x=2-2\sqrt{2}\approx -0.828427125
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\left(x-2\right)^{2}+3-3=11-3
Subtract 3 from both sides of the equation.
\left(x-2\right)^{2}=11-3
Subtracting 3 from itself leaves 0.
\left(x-2\right)^{2}=8
Subtract 3 from 11.
x-2=2\sqrt{2} x-2=-2\sqrt{2}
Take the square root of both sides of the equation.
x-2-\left(-2\right)=2\sqrt{2}-\left(-2\right) x-2-\left(-2\right)=-2\sqrt{2}-\left(-2\right)
Add 2 to both sides of the equation.
x=2\sqrt{2}-\left(-2\right) x=-2\sqrt{2}-\left(-2\right)
Subtracting -2 from itself leaves 0.
x=2\sqrt{2}+2
Subtract -2 from 2\sqrt{2}.
x=2-2\sqrt{2}
Subtract -2 from -2\sqrt{2}.
x=2\sqrt{2}+2 x=2-2\sqrt{2}
The equation is now solved.
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