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Point D is lies on side BC of triangle ABC such that CD=2BD. It turned out that angle ADC=60 and angle ABC=45. Find angle BAC.

Let P(x) be a polynomial of degree 3 and x₁,x₂,x₃ are the solutions of P(x)=0.

Let (P(1/3)-P(-1/3))/P(0)=8, (P(1/4)-P(-1/4))/P(0)=9 and x₁+x₂+x₃=35.

Find the value of (x₂+x₃)/x₁+(x₁+x₃)/x₂+(x₁+x₂)/x₃.