\frac { ( 252 ) ^ { 2 } - 4 ( - 4,9 ) } { 2 ( - 4,9 ) }
Evaluate
-6482
Factor
-6482
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\frac{63504-4\left(-4,9\right)}{2\left(-4,9\right)}
Calculate 252 to the power of 2 and get 63504.
\frac{63504-\left(-19,6\right)}{2\left(-4,9\right)}
Multiply 4 and -4,9 to get -19,6.
\frac{63504+19,6}{2\left(-4,9\right)}
The opposite of -19,6 is 19,6.
\frac{63523,6}{2\left(-4,9\right)}
Add 63504 and 19,6 to get 63523,6.
\frac{63523,6}{-9,8}
Multiply 2 and -4,9 to get -9,8.
\frac{635236}{-98}
Expand \frac{63523,6}{-9,8} by multiplying both numerator and the denominator by 10.
-6482
Divide 635236 by -98 to get -6482.
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}