Question

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

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Answer 1

Answer:

k = - 9/4

Step-by-step explanation:

If -1/2 is a solution, it means that the equation will return zero for x = -1/2

3x² + 2kx - 3 = 0

Substitute x = -1/2

3(-1/2)² + 2k(-1/2) - 3 = 0

3/4 - k - 3 = 0

- k - 9/4 = 0

k = - 9/4

Answer: k = - 9/4

Answer 2

$x = - \frac{1}{2} \\ \\ 3 {x}^{2} + 2kx - 3 = 0 \\ \\ 3 \times ( - \frac{1}{2} ) {}^{2} + 2k \times \frac{ - 1}{2} - 3 = 0 \\ \\ \frac{3}{4} - k - 3 = 0 \\ \\ \frac{ 3 - 4k - 12}{4} = 0 \\ \\ - 9 - 4k =0 \\ \\ 4k = -9 \\ \\ k = -\frac{9}{4}$