Evaluate
10.1
Factor
\frac{101}{2 \cdot 5} = 10\frac{1}{10} = 10.1
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\frac{25-26.01}{5-5.1}
Calculate 5.1 to the power of 2 and get 26.01.
\frac{-1.01}{5-5.1}
Subtract 26.01 from 25 to get -1.01.
\frac{-1.01}{-0.1}
Subtract 5.1 from 5 to get -0.1.
\frac{-101}{-10}
Expand \frac{-1.01}{-0.1} by multiplying both numerator and the denominator by 100.
\frac{101}{10}
Fraction \frac{-101}{-10} can be simplified to \frac{101}{10} by removing the negative sign from both the numerator and the 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}