Question

if x=-1/2is a root of quadratic equation 3x +2kx -3=0

Answer 1

Solution:

Given x = -1/2 is a root of

quadratic equation 3x²+2kx-3=0

substitute x = -1/2 in the equation, we get

3(-1/2)²+2k(-1/2)-3=0

=> 3×(1/4) - k -3 = 0

=> 3/4-3 -k = 0

=> [(3-12)/4] -k =0

=> (-9/4)-k = 0

=> -9/4 = k

Therefore,.

k = -9/4

••••