Calculating the possible values of k

The quadratic equation ×^2 - 4x - 1= 2k(x-5) has two equal roots. Calculate the possible values of k.

Hi I've been struggling to work this out for quite a while, so I would really appreciate any help for solving this.

Reply 1

Muttley79

Original post by Minbbh

Put it into the general quadratic form - then what do you know about the value of the discriminant if it has equal roots?

Reply 2

Minbbh

Original post by Muttley79

Put it into the general quadratic form - then what do you know about the value of the discriminant if it has equal roots?

I have rearranged the equation to
×^2 - 2kx +10k - 4x -1=0
But I'm stuck on how to put it in the quadratic form since there's a lot of variables and I'm not entirely sure what's b is in here.

Reply 3

Muttley79

Original post by Minbbh

I have rearranged the equation to
×^2 - 2kx +10k - 4x -1=0
But I'm stuck on how to put it in the quadratic form since there's a lot of variables and I'm not entirely sure what's b is in here.