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प्रश्न
Solve the following quadratic equation by
factorisation.
5m2 = 22m + 15
उत्तर
5m2 = 22m + 15
\[\Rightarrow 5 m^2 - 22m - 15 = 0\]
\[ \Rightarrow 5 m^2 - 25m + 3m - 15 = 0\]
\[ \Rightarrow 5m\left( m - 5 \right) + 3\left( m - 5 \right) = 0\]
\[ \Rightarrow \left( 5m + 3 \right)\left( m - 5 \right) = 0\]
\[ \Rightarrow \left( 5m + 3 \right) = 0 or \left( m - 5 \right) = 0\]
\[ \Rightarrow m = \frac{- 3}{5} \text{ or } m = 5\]
So, \[\frac{- 3}{5} \text{ and } 5\] are the roots of the given quadratic equation.
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