Solve for z (complex solution)
z\in \mathrm{C}
Solve for z
z\in \mathrm{R}
Quiz
Polynomial
5 problems similar to:
3z- \frac{ 2 \times \left( z-1 \right) }{ 6 } = \frac{ 8z+1 }{ 3 }
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18z-2\left(z-1\right)=2\left(8z+1\right)
Multiply both sides of the equation by 6, the least common multiple of 6,3.
18z-2z+2=2\left(8z+1\right)
Use the distributive property to multiply -2 by z-1.
16z+2=2\left(8z+1\right)
Combine 18z and -2z to get 16z.
16z+2=16z+2
Use the distributive property to multiply 2 by 8z+1.
16z+2-16z=2
Subtract 16z from both sides.
2=2
Combine 16z and -16z to get 0.
\text{true}
Compare 2 and 2.
z\in \mathrm{C}
This is true for any z.
18z-2\left(z-1\right)=2\left(8z+1\right)
Multiply both sides of the equation by 6, the least common multiple of 6,3.
18z-2z+2=2\left(8z+1\right)
Use the distributive property to multiply -2 by z-1.
16z+2=2\left(8z+1\right)
Combine 18z and -2z to get 16z.
16z+2=16z+2
Use the distributive property to multiply 2 by 8z+1.
16z+2-16z=2
Subtract 16z from both sides.
2=2
Combine 16z and -16z to get 0.
\text{true}
Compare 2 and 2.
z\in \mathrm{R}
This is true for any z.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}