- #1

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## Homework Statement

One root of 2x

^{2}-kx+k=0 is twice the other. Find K. (assume k is not 0)

## Homework Equations

not sure what this means.

## The Attempt at a Solution

[tex]\alpha[/tex]+[tex]\beta[/tex]=[tex]\frac{-b}{a}[/tex]

[tex]\alpha\beta[/tex]=[tex]\frac{c}{a}[/tex]

then i tried

[tex]\alpha[/tex]=2[tex]\beta[/tex] then substituted in..

2x

^{2}-3[tex]\beta[/tex]+[tex]\alpha\beta[/tex]=0 and now im stuck

im not sure if this is right way to do this