Question

Find the value of k foot the quadratic equation 2x2+kx+3=0 have equal roots.

Answer 1

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!!}}}$

$<b>$
a = 2 , b= k and c= 3
The quadratic equation has equal roots if
$b {}^{2} - 4ac = 0$
Now put the value in this we get
$k {}^{2} - 4 \times 2 \times 3 = 0 \\ k {}^{2} - 24 = 0 \\ k {}^{2} = 24 \\ k = \sqrt{24} \\ k = 4.89$
$\large{\red{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\underline{\underline{\underline{Hope\:it\:helps\: you}}}}}}}}}}}}}}}$