At last! Posted another problem after 5 weeks

Algebra Level 3

If r1,r2,r3,r4r_{1}, r_{2}, r_{3}, r_{4} are the roots of the equation 4x43x3x2+2x6=04x^{4}-3x^{3}-x^{2}+2x-6=0, what is the value of 1r1+1r2+1r3+1r4\frac{1}{r_{1}}+\frac{1}{r_{2}}+\frac{1}{r_{3}}+\frac{1}{r_4}?

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