Question

If the equation 4x²-3xK+ 1 = 0 equal roots,a then find the value of k.​

Answer 1

Step-by-step explanation:

For equal roots

D =0

As we know that

$d = \sqrt{ {b}^{2} - 4ac} \\ 0 = \sqrt{ ({ - 3k)}^{2} - 4 \times 4 \times 1} \\ = > 0 = \sqrt{9 {k}^{2} - 16} \\ = > 0 = 9 {k}^{2} - 16 \\ = > 9 {k}^{2} = 16 \\ = > {k}^{2} = \frac{16}{9} \\ = > k = \frac{4}{3}$