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Just Enough Algebra

Section B.3 Formulas used to solve specific types of equations

Root Formula

The equation \(C^n=v\) has solution
\begin{equation*} C= \sqrt[n]{v} \end{equation*}

Log-Divides Formula

The equation \(g^Y = v\) has solution
\begin{equation*} Y = \frac{\log (v)}{\log(g)} \end{equation*}

Quadratic Formula

The equation \(aT^2+bT+c=0\) has solutions
\begin{equation*} T = \frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a} \end{equation*}