Question:
If a and ??are the roots of 4x2 + 2x + 1 = 0, then ??=
If a and ??are the roots of 4x2 + 2x + 1 = 0, then ??=
Updated On: Jun 7, 2024
- $-\frac{1}{4\alpha}$
- $-\frac{1}{2\alpha}$
- $-\frac{1}{\alpha}$
- $-\frac{1}{3\alpha}$
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The Correct Option is A
Solution and Explanation
Given equation is
$4 x^{2}+2 x-1=0$
Roots of the equation are $\alpha$ and $\beta$.
$\therefore \alpha+\beta=\frac{-b}{a}=\frac{-2}{4}=-\frac{1}{2}$
and $ \alpha \beta=\frac{C}{a}=-\frac{1}{4}$
$\therefore \beta=-\frac{1}{4 \alpha} $
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