Question

X²+ kx +24=0 it's roots are in the ratio 2:3 then k is

Answer 1

Answer:

k=10

Step-by-step explanation:

X²+ kx +24=0

OR,x²+ 6x +4x +24=0                    [ that is x²+ 10x +24=0]

OR,x²+ 6x +4x +24=0

OR,(x+6)(x+4) =0

so, x= -6 , -4

(ratio is -4/-6 that is 2:3 )

here [ that is x²+ 10x +24=0] is X²+ kx +24=0

so k = 10