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Quadratic Equations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsQuadratic Equations2 Marks
Question
Show the following quadratic equation by factorization method:
$4x^2 - 12x + 25 = 0$
✓

Answer

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

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