m^ 2 +m+1=0 factorise this quadratic equation by #160; Discriminant method . D=1 4 × 1= 3 ⇒ Roots = 1 ±√( 3 ) # ...

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Factorisation by Common Factors

Factorise m...

Question

Factorise $m^{2} + m + 1 = 0$ .

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Solution

$m^{2} + m + 1 = 0 f a c t o r i s e t h i s q u a d r a t i c e q u a t i o n b y D i s c r i m i n a n t m e t h o d . D = 1 - 4 \times 1 = - 3 \Rightarrow R o o t s = \frac{- 1 \pm \sqrt{- 3}}{2 \times 1} [∵ \sqrt{- 1} = i] \Rightarrow m = \frac{- 1 \pm \sqrt{- 3}}{2} \Rightarrow m = - 1 \pm \sqrt{3} i ∴ m = \sqrt{3} i - 1 o r (- \sqrt{3} i - 1)$

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