Question

X=-1/2 solution of quadratic equation 3x^2+2kn-3=0 find the value of k

Answer 1

Your equation should be like this

=> 3x² + 2kx - 3 = 0.

Solution:-

here x = -1/2 is solution of Quadratic eqation

3x² + 2kn - 3 = 0.

It means -1/2 is one of the root of the given Quadratic equation.

now,

3x² + 2kx - 3 = 0

put x = -1/2

•°• 3(-1/2) + 2k(-1/2) - 3 = 0

-3/2 - k - 3 = 0

-3/2 -3 = k

(-3 - 6)/2 = k

-9/2 = k

The value for k is -9/2.