Solve the following quadric equations by factorization method only $4 x^{2} - 12 x + 25 = 0$

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Solution

$4 x^{2} - 12 x + 25 = 0 Now, completing the squares, we get (2 x - 3)^{2} + 16 = 0 \Rightarrow (2 x - 3)^{2} - 4 i^{2} = 0 \Rightarrow (2 x - 3 + 4 i) (2 x - 3 - 4 i) = 0 \Rightarrow (2 x - 3 + 4 i) = 0 O r (2 x - 3 - 4 i) = 0 ∴ x = \frac{3}{2} + 2 i, \frac{3}{2} - 2 i$

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