Question

If the sum and product of the root of the equation kx^2 + 6x+ 4k =0 are equal then k =

Answer 1

Answer:

Step-by-step explanation:

The given eqation is kx²+ 6x+4k=0

let,

αandβ be two roots o the given eqation

and a=k,b=6,c=4k

we know that

sum of the roots-

α+β= -b/a

       = -6/k

product of the roots-

αβ=c/a

     =4k/k                    

     = 4

now,

according to the question

sum of the roots=product of the roots

-6/k= 4

→k= -6/4

∴k= -3/2

So , k= -3/2

Hope it helps u mate :-}