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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

5x^3 - 8x^2 + 7x + 6 = 0 is the same as x^3 - (8/5)x^2 + (7/5)x + (6/5) = 0. If α,β,γ are the roots, then this should be the same as (x-α)(x-β)(x-γ)=0. You can multiply this out and match coefficients, then find the variables.

Similarly, an equation with roots α^2 + β^2 + αβ, β^2+γ^2+βγ, and γ^2 is (x - (α^2 + β^2 + αβ)) (x - (β^2+γ^2+βγ)) (x-γ^2) = 0 (x - (α+β)^2 + αβ)) (x - (β+γ)^2 - βγ)) (x-γ^2) = 0