Solve for E
E=-2x^{2}+x-4
Solve for x (complex solution)
x=\frac{-\sqrt{-8E-31}+1}{4}
x=\frac{\sqrt{-8E-31}+1}{4}
Solve for x
x=\frac{-\sqrt{-8E-31}+1}{4}
x=\frac{\sqrt{-8E-31}+1}{4}\text{, }E\leq -\frac{31}{8}
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E=-4-7x^{2}+4x+5x^{2}-3x
Subtract 13 from 9 to get -4.
E=-4-2x^{2}+4x-3x
Combine -7x^{2} and 5x^{2} to get -2x^{2}.
E=-4-2x^{2}+x
Combine 4x and -3x to get x.
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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
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Limits
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