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The equation x^{4}-6x^{3}-73x^{2}+kx+m=0 has two positive roots, [tex]\alpha[/tex] [tex]\beta[/tex], and two negative roots, [tex]\delta[/tex] [tex]\gamma[/tex]. It is given that [tex]\alpha[/tex][tex]\beta[/tex]=[tex]\delta[/tex][tex]\gamma[/tex]=4

(i) Find the values of k and m

2. Relevant equations

stated above

3. The attempt at a solution

m = ([tex]\alpha[/tex][tex]\beta[/tex])([tex]\gamma[/tex][tex]\delta[/tex])=4x4=16

not too sure how to approach solving k

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# Homework Help: Quartic roots questions

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