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x=\frac{1}{2}=0.5
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x≔\frac{1}{2}
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Quiz
Linear Equation
5 problems similar to:
x = \sqrt { \frac { 1 } { 1 + 2 \cdot 3 ^ { 2 } - 16 + 1 } }
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x=\sqrt{\frac{1}{1+2\times 9-16+1}}
Calculate 3 to the power of 2 and get 9.
x=\sqrt{\frac{1}{1+18-16+1}}
Multiply 2 and 9 to get 18.
x=\sqrt{\frac{1}{19-16+1}}
Add 1 and 18 to get 19.
x=\sqrt{\frac{1}{3+1}}
Subtract 16 from 19 to get 3.
x=\sqrt{\frac{1}{4}}
Add 3 and 1 to get 4.
x=\frac{1}{2}
Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.
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}