The three values of given by the equation where a and b are non-zero, are , , and . Show that is independent of a and b. I need to know the general formula for the roots? Or is there some simpler way? Thanks!
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In the cubic equation ax^3 + bx^2 + cx + d = 0, the sum of the product of roots αβ+βγ+γα = c/a. Hence in the given problem y1y2 + y2y3 + y3y1 = -3a/4a = -3/4.
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