Study Mathematics notes on Quadratic Equations. Useful for revision, homework, and exam preparation in Zimbabwe.
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\[
\begin{array}{l}
6 n^{2}+30 n-36=0
n=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}
a=6
b=30
c=-36
n=\frac{(-30) \pm \sqrt{30^{2}-4(6)-(36)}}{2(6)}
n=\frac{-30 \pm \sqrt{900+864}}{12}
n=\frac{-30 \pm \sqrt{1764}}{12}
n=\frac{-30 \pm 42}{12}
\end{array}
\]
eitter $n_{1}=\frac{-30+42}{12}=1$
or
\[
\begin{array}{c}
n_{2}=\frac{-30-42}{12}=-6
n=-6 \text { or } 1
\end{array}
\]