Polynomial question HELPPP!!! tyvm guys :)

Question

anonymous · Answer

solve the equation $$2x ^{3}-7x ^{2}-52x-55=0$$, given that $$3-2\sqrt{5}$$ is one root.

anonymous · Answer

are you certain this is the correct question?

hero · Answer

$3 + 2\sqrt{5}$ is an other root since roots of polynomials always exist in pairs. Now you just need to find the last one.

loser66 · Answer

to me, let other roots are p, r. therefore,
 $$(3-2\sqrt 5) +p +r = -7\(3-2\sqrt 5) *p*r =55$$
2 variables, 2 equations, solve for p and r

anonymous · Answer

you mean 7/2 and 55/2 right?

loser66 · Answer

I gave the way, not solution, I didn't calculate

anonymous · Answer

no the sum of the roots and the product of the roots... you wrote it wrong

anonymous · Answer

where did you get that from?

hero · Answer

You were given a root. The other root would be the conjugate of the given root.

anonymous · Answer

loser66's method seems to laborious cause there is teh 3-2root5 which is a pain to simplify and solve with

hero · Answer

Actually, do it this way:

hero · Answer

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