Question

Find the values of k for which 2/5 is one root of the quadratic equation 5x2-kx+6.

Answer 1

Step-by-step explanation:

$5 {x}^{2} - kx + 6 = 0$

here,a = 5 , b = -k , c = 6

$let \: \alpha \: and \: \beta \: be \: the \: roots \: of \: given \: \\ equation$

$\alpha = \frac{2}{5} \: \: ( given)$

$\frac{ - b}{a } = \frac{2}{5}$

$\frac{ k}{5} = \frac{2}{5}$

$k = 2$