Solve for s
s=\frac{1}{e}\approx 0.367879441
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\frac{4}{2}+\frac{3}{2}+4=2+\left(\frac{3}{2}+4\right)se
Convert 2 to fraction \frac{4}{2}.
\frac{4+3}{2}+4=2+\left(\frac{3}{2}+4\right)se
Since \frac{4}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.
\frac{7}{2}+4=2+\left(\frac{3}{2}+4\right)se
Add 4 and 3 to get 7.
\frac{7}{2}+\frac{8}{2}=2+\left(\frac{3}{2}+4\right)se
Convert 4 to fraction \frac{8}{2}.
\frac{7+8}{2}=2+\left(\frac{3}{2}+4\right)se
Since \frac{7}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.
\frac{15}{2}=2+\left(\frac{3}{2}+4\right)se
Add 7 and 8 to get 15.
\frac{15}{2}=2+\left(\frac{3}{2}+\frac{8}{2}\right)se
Convert 4 to fraction \frac{8}{2}.
\frac{15}{2}=2+\frac{3+8}{2}se
Since \frac{3}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.
\frac{15}{2}=2+\frac{11}{2}se
Add 3 and 8 to get 11.
2+\frac{11}{2}se=\frac{15}{2}
Swap sides so that all variable terms are on the left hand side.
\frac{11}{2}se=\frac{15}{2}-2
Subtract 2 from both sides.
\frac{11}{2}se=\frac{15}{2}-\frac{4}{2}
Convert 2 to fraction \frac{4}{2}.
\frac{11}{2}se=\frac{15-4}{2}
Since \frac{15}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{11}{2}se=\frac{11}{2}
Subtract 4 from 15 to get 11.
\frac{11e}{2}s=\frac{11}{2}
The equation is in standard form.
\frac{2\times \frac{11e}{2}s}{11e}=\frac{2\times \frac{11}{2}}{11e}
Divide both sides by \frac{11}{2}e.
s=\frac{2\times \frac{11}{2}}{11e}
Dividing by \frac{11}{2}e undoes the multiplication by \frac{11}{2}e.
s=\frac{1}{e}
Divide \frac{11}{2} by \frac{11}{2}e.
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y = 3x + 4
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Matrix
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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
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