Solve for x
x=11
Graph
Share
Copied to clipboard
3\sqrt{x-2}-3-\left(-3\right)=6-\left(-3\right)
Add 3 to both sides of the equation.
3\sqrt{x-2}=6-\left(-3\right)
Subtracting -3 from itself leaves 0.
3\sqrt{x-2}=9
Subtract -3 from 6.
\frac{3\sqrt{x-2}}{3}=\frac{9}{3}
Divide both sides by 3.
\sqrt{x-2}=\frac{9}{3}
Dividing by 3 undoes the multiplication by 3.
\sqrt{x-2}=3
Divide 9 by 3.
x-2=9
Square both sides of the equation.
x-2-\left(-2\right)=9-\left(-2\right)
Add 2 to both sides of the equation.
x=9-\left(-2\right)
Subtracting -2 from itself leaves 0.
x=11
Subtract -2 from 9.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}