Solve К = 40,4 * S Н N

Question

Function

\frac{\partial K}{\partial S} = 40, 4 N^{2}

Show Solution

N = \frac{1010 K S}{202 ∣ S ∣} N = - \frac{1010 K S}{202 ∣ S ∣}

Evaluate

K = 40.4 S N^{2}

Swap the sides of the equation

40.4 S N^{2} = K

Divide both sides

\frac{40.4 S N ^{2}}{40.4 S} = \frac{K}{40.4 S}

Divide the numbers

N^{2} = \frac{K}{40.4 S}

Convert the decimal into a fraction

More Steps

N^{2} = \frac{K}{\frac{202}{5} S}

Take the root of both sides of the equation and remember to use both positive and negative roots

N = \pm \frac{K}{\frac{202}{5} S}

Simplify the expression

More Steps

N = \pm \frac{\frac{202}{5} K S}{\frac{202}{5} ∣ S ∣}

Separate the equation into 2 possible cases

N = \frac{\frac{202}{5} K S}{\frac{202}{5} ∣ S ∣} N = - \frac{\frac{202}{5} K S}{\frac{202}{5} ∣ S ∣}

Calculate

More Steps

N = \frac{5 \frac{202}{5} K S}{202 ∣ S ∣} N = - \frac{\frac{202}{5} K S}{\frac{202}{5} ∣ S ∣}

Calculate

More Steps

N = \frac{5 \frac{202}{5} K S}{202 ∣ S ∣} N = - \frac{5 \frac{202}{5} K S}{202 ∣ S ∣}

Simplify

N = \frac{1010 K S}{202 ∣ S ∣} N = - \frac{5 \frac{202}{5} K S}{202 ∣ S ∣}

Solution

N = \frac{1010 K S}{202 ∣ S ∣} N = - \frac{1010 K S}{202 ∣ S ∣}

Show Solution