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Quadratic Equations — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSQuadratic Equations2 Marks
Question
Show the following quadratic equation by factorization method:
4x2 + 1 = 0
✓

Answer

4x2 + 1 = 0
⇒ (2x)2 - i2 = 0 [$\because$ i2 = -1]
⇒ (2x + i) (2x - i) = 0
⇒ Either 2x + i = 0 or 2x - i = 0
$\Rightarrow\text{x}=\frac{-\text{i}}{2}\ \text{or }\text{x}=\frac{\text{i}}{2}$
$\therefore\text{x}=\frac{-\text{i}}{2},\frac{\text{i}}{2}$

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