Question

Hey guys!!! please answer this..... its urgent......pls

If the equation x^{2}+ 3x + 2 = 0 and x^{2} + kx + 6 = 0 have a common root, then find the value of k.

please answer it step by step

Answer 1

Answer:

k=5 or k=7

Step-by-step explanation:

x² + 3x + 2 = 0

(x + 2)(x + 1) = 0

$x_{1}$ = - 2

$x_{2}$ = - 1

If common root is (-1)

(-1)² + k(-1) + 6 = 0 , then k = 7

If common root is (-2)

(-2)² + k(-2) + 6 = 0 , then k = 5