Solve for k
k=\sqrt{2}-1\approx 0.414213562
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k\times 1-\sqrt{2}\times 1+1=0
Calculate 1 to the power of 2 and get 1.
k\times 1-\sqrt{2}\times 1=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
k\times 1=-1+\sqrt{2}\times 1
Add \sqrt{2}\times 1 to both sides.
k=\sqrt{2}-1
Reorder the terms.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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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