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Quadratic Equations — MATHS STD 11 Science — Question

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

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

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