Solve: $a^{2} - 5 a + 6 = 0$

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Solution

$\begin{matrix} W e h a v e a^{2} - 5 a + 6 = 0 \Rightarrow a^{2} - 3 a - 2 a + 6 = 0 \Rightarrow a (a - 3) - 2 (a - 3) = 0 \Rightarrow (a - 3) (a - 2) = 0 \Rightarrow a - 3 = 0 a n d a - 2 = 0 ∴ a = 3 a n d a = 2 \end{matrix}$

Hence, this is the answer.

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In the following question, two equations I and II are given. You have to solve both the equations and choose the appropriate answer.

I. a $^{2}$ -- 5a + 6 = 0

II. b $^{2}$ -- 3b + 2 = 0

Factorise : $a^{2} + 5 a + 6$

Factorise : $a^{2} - 5 a + 6$

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