Question

If x= -1/2 is a root of the quadratic equation 3x² + 2kx +3 = 0, find the
value of k.​

Answer 1

Answer:

Given -

X = -1/2

for the equation,

3x²+ 2kx + 3= 0 )------(1)

substitute the value of x in the equation (1)

we get ,

• 3 (-1/2)² + 2 (-1/2) k + 3 = 0

• $(3 \times \frac{1}{4} ) + \frac{ - 2}{2} k + 3 = 0$

• $\frac{3}{4} - k + 3 = 0$

• $k = \frac{3}{4} + 3$

• $k = \frac{15}{4}$