x=x+ \sqrt{ { z }_{ 2 } }
Solve for z_2
z_{2}=0
Solve for x (complex solution)
x\in \mathrm{C}
z_{2}=0
Solve for x
x\in \mathrm{R}
z_{2}=0
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x+\sqrt{z_{2}}=x
Swap sides so that all variable terms are on the left hand side.
\sqrt{z_{2}}=x-x
Subtract x from both sides.
\sqrt{z_{2}}=0
Combine x and -x to get 0.
z_{2}=0
Square both sides of the equation.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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