At what numerical value do the Kelvin and Fahrenheit scales have the same temperature? Answer with a decimal with 5 digits after the dot.
First, let's establish the equation between Farenheit and Kelvin.
We have
\(F = \frac{9} {5} ( K − 273 ) + 32\)
Now, since we want them to be equal, let's set a varianle.
Let's let K and F both be X. Thus, we have the equation
\(X = \frac{9} {5} ( X − 273 ) + 32\)
So, after we solve for X, we get that
\(X=574.25\)
So 574.25 is our answer.
Thanks! :)