Question

State whether x= -k/2 is root of the quadratic
equation 2x² + (k-6) x - 3k = 0.​

Answer 1

Answer:

x=-k/2

2(-k/2)^2+(k-6)-k/2-3k=0

2k^2/4-k^2+6k/2-3k=0

2k^2-2k^2+12k-12k/4=0

2k^2-2k^2+12k-12k=0

0=0

yes -k/2 is a root of this equation