Question

if x=1/2 is a solution of the quadratic equation 3x*2+2kx-3 =0 find the value of k

Answer 1

x is one root hence it is solution
put x=1/2in equation
$3 \times \frac{1}{4} + k - 3 = 0 \\ k = 3 - \frac{3}{4} \\ k = \frac{9}{4}$

Answer 2

given:-

x=-1/2 as a solution

so

putting values

3×(-1/2)2+2×k×-1/2-3=0

3×1/4-k-3=0

3/4-3=k

k=-9/4