Question

यदि समीकरण 4xkx 1-0 के मूल समान हों, तो k का मान है
If the roots of the equation 4x2 - kx + 1 = 0 are equal, then the value of k is​

Answer 1

Answer:

$\alpha + \beta = \frac{ - b}{a} = \frac{k}{4}$

$2\alpha = \frac{k}{4}$

And

$\alpha . \beta = \frac{c}{a} = \frac{1}{4}$

${ \alpha }^{2} = \frac{1}{4} \\ \alpha = \frac{1}{2}$

So,

$2\alpha = \frac{k}{4} \\ 2 \times \frac{1}{2} = \frac{k}{4} \\ k = 4$