Question

if x = -1 / 3 is a solution of the equation x2 + 4 k x - 1 = 0 then the value of k is​

Answer 1

Answer:

k= -2/3

Step-by-step explanation:

(-1/3)^2+4k(-1/3)-1=0

1/9-(4k/3)-1=0

k= -2/3

Answer 2

Question:-

• If $x = - \frac{1}{3}$ is the solution of the equation x²+4kx -1 =0
• Then the value of k is

Solution:-

Substitute

$x = - \frac{1}{3}$

Then,we get

=> $( { - \frac{1}{3} })^{2} + 4( - \frac{ 1 }{3} )k - 1 = 0$

=> $\frac{1}{9} - \frac{4}{3} k - 1 = 0$

=> $\frac{ 8}{9} - \frac{4}{3} k = 0$

=> $- \frac{4}{3} k = \frac{8}{9}$

=> $k = \frac{8}{9} \times - \frac{3}{4}$

=>$k = - \frac{2}{3}$

Final Answer:-

$k = - \frac{2}{3}$