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Algebra
5 problems similar to:
\frac { 6 x \sqrt { ( - 6 ) ^ { 2 } - 4 ( 1 ) ( 9 ) } } { 2 ( 1 ) }
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3\sqrt{\left(-6\right)^{2}-4\times 9}x
Cancel out 2 in both numerator and denominator.
3\sqrt{36-4\times 9}x
Calculate -6 to the power of 2 and get 36.
3\sqrt{36-36}x
Multiply 4 and 9 to get 36.
3\sqrt{0}x
Subtract 36 from 36 to get 0.
3\times 0x
Calculate the square root of 0 and get 0.
0x
Multiply 3 and 0 to get 0.
0
Anything times zero gives zero.
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}