Solve for K

K=4

$K=4$

Quiz

Linear Equation

5 problems similar to:

9 = \frac { K ( 2 ) ( 3 ) ^ { 2 } } { 8 }

$9=8K(2)(3)_{2} $

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9\times 8=K\times 2\times 3^{2}

Multiply both sides by 8.

72=K\times 2\times 3^{2}

Multiply 9 and 8 to get 72.

72=K\times 2\times 9

Calculate 3 to the power of 2 and get 9.

72=K\times 18

Multiply 2 and 9 to get 18.

K\times 18=72

Swap sides so that all variable terms are on the left hand side.

K=\frac{72}{18}

Divide both sides by 18.

K=4

Divide 72 by 18 to get 4.

Examples

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{ x } ^ { 2 } - 4 x - 5 = 0

$x_{2}−4x−5=0$

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4 \sin \theta \cos \theta = 2 \sin \theta

$4sinθcosθ=2sinθ$

Linear equation

y = 3x + 4

$y=3x+4$

Arithmetic

699 * 533

$699∗533$

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]

$[25 34 ][2−1 01 35 ]$

Simultaneous equation

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

${8x+2y=467x+3y=47 $

Differentiation

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

$dxd (x−5)(3x_{2}−2) $

Integration

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

$∫_{0}xe_{−x_{2}}dx$

Limits

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

$x→−3lim x_{2}+2x−3x_{2}−9 $