Question

20.Value of ʻkʼ for which the equation 2 x² - k x + 6 = 0 has equal roots is​

Answer 1

Answer:

k = 4√3

Step-by-step explanation:

$Given \ equation, 2x^{2} -kx+6=0 \\ It \ is \ of \ the \ form \ ax^{2}+bx+c=0\\\\ Also,it \ is \ said \ that \ the \ equation \ has \ equal \ roots. \\ Means,Discriminant,D =b^{2}-4ac=0 \\\\ in \ the \ given \ equation,a=2,b=-k,c=6 \\\\ =>b^{2}-4ac=0 \\ (-k)^{2}-4(2)(6)=0 \\ k^{2}-48=0\\k^{2}=48\\k=\sqrt{48} \\k= \sqrt{(16)(3)} \\ =>k=4\sqrt{3}$