Solve the following quadric equations by factorization method only $9 x^{2} + 4 = 0$

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Solution

$9 x^{2} + 4 = 0 \Rightarrow (3 x)^{2} - (2 i)^{2} = 0 [∵ i^{2} = - 1] \Rightarrow (3 x + 2 i) (3 x - 2 i) = 0 \Rightarrow 3 x + 2 i = 0 O r 3 x - 2 i = 0 \Rightarrow x = \frac{- 2}{3} i, \frac{2}{3} i$

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