(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The quadratic equation [tex]x^2 + kx + 2k = 0[/tex] wherekis a non-zero constant, has roots [tex]\alpha[/tex] and [tex]\beta[/tex].

Find a quadratic equation with roots [tex]\frac{\alpha}{\beta}[/tex] and [tex]\frac{\beta}{\alpha}[/tex]. {one is meant to be inverted - the code isn't working properly :( }

2. Relevant equations

3. The attempt at a solution

A question like this, I would normal attempt by using 'u' as a variable and get [tex]\alpha[/tex] on it's own, e.g:

[tex]\alpha + 1 = u[/tex]

[tex]\alpha = u - 1[/tex]

I would then subst. the u - 1 part into the equation and get the answer. I'm unsure where to go as alpha and beta are in a fraction together - help please :)

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# Homework Help: Quadratic with alpha and beta

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