# Finding the value of a variable present in two functions kx−3 and x^2+k

Finding the value of a variable present in two functions
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Bring the terms involving $k$ together on one side, factor the $k$ out, then divide through:
$\begin{array}{rl}kx-3& ={x}^{2}+k\\ kx-k& ={x}^{2}+3\\ k\left(x-1\right)& ={x}^{2}+3\\ k& =\frac{{x}^{2}+3}{x-1}\end{array}$