Question

For what cvalue of k will the sum of roots of quadratic equation kx2+6x+4k=0 be equal to the product of the roots

Answer 1

if sum roots and product of roots are equal then - b/a=c/a
-b = a
here A equal to 2 k and B equal to 6 and c equal to 4k then..
-6=4k
k=-3/2

Answer 2

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

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Here is your answer.
The quadratic equation is
$kx {}^{2} + 6x + 4 k= 0$
Here
a = k
b = 6
c = 4k

Sum of roots. = -b/a
and
Product of the roots = c/a
ATQ
$- \frac{6}{k} = \frac{4k}{k} \\ - 6 = 4k \\ k = - \frac{6}{4} \\ k = - \frac{3}{2} \\ k = - 1.5$
The value of k is -1.5

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