\frac { 7,9 : 79 + 0,5 ^ { 2 } } { - 0,4 } =
Evaluate
-0,25
Factor
-0,25
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\frac{\frac{79}{790}+0\times 5^{2}}{-0,4}
Expand \frac{7,9}{79} by multiplying both numerator and the denominator by 10.
\frac{\frac{1}{10}+0\times 5^{2}}{-0,4}
Reduce the fraction \frac{79}{790} to lowest terms by extracting and canceling out 79.
\frac{\frac{1}{10}+0\times 25}{-0,4}
Calculate 5 to the power of 2 and get 25.
\frac{\frac{1}{10}+0}{-0,4}
Multiply 0 and 25 to get 0.
\frac{\frac{1}{10}}{-0,4}
Add \frac{1}{10} and 0 to get \frac{1}{10}.
\frac{1}{10\left(-0,4\right)}
Express \frac{\frac{1}{10}}{-0,4} as a single fraction.
\frac{1}{-4}
Multiply 10 and -0,4 to get -4.
-\frac{1}{4}
Fraction \frac{1}{-4} can be rewritten as -\frac{1}{4} by extracting the negative sign.
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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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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}