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प्रश्न
Solve the following quadratic equation by factorisation.
x2 – 15x + 54 = 0
उत्तर
x2 – 15x + 54 = 0
\[\Rightarrow x^2 - 9x - 6x + 54 = 0\]
\[ \Rightarrow x\left( x - 9 \right) - 6\left( x - 9 \right) = 0\]
\[ \Rightarrow \left( x - 6 \right)\left( x - 9 \right) = 0\]
\[ \Rightarrow \left( x - 6 \right) = 0 \text{ or } \left( x - 9 \right) = 0\]
\[ \Rightarrow x = 6 \text{ or } x = 9\]
So, 6 and 9 are the roots of the given quadratic equation.
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