Solve the following quadratic equations by factorisation : m² - 1… - Vidyadip

Question

Solve the following quadratic equations by factorisation : m² - 14 m + 13 = 0

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Answer

$\begin{aligned}
& m^2-14 m+13=0 \\
\therefore & m^2-13 m-1 m+13=0 \\
\therefore & \overline{m(m-13)} \overline{-1(m-13)}=0 \\
\therefore & (m-13)(m-1)=0 \\
\therefore & m-13=0 \text { or } m-1=0 \\
\therefore & m=13 \text { or } m=1
\end{aligned}$
$\therefore 13$ and 1 are the roots of the given quadratic equation.

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