1.

Form the values of the following in terms of a, b, c if alpha, beta are roots of ax^(2)+bx+c=0, c != 0 i) (1)/(alpha)+(1)/(beta) ii) (1)/(alpha^(2))+(1)/(beta^(2)) iii) alpha^(3)+beta^(3) iv) ((alpha)/(beta)-(beta)/(alpha))^(2) v) alpha^(4)beta^(7)+alpha^(7)beta^(4) vi) alpha^(2)+beta^(2) vii) (alpha^(2)+beta^(2))/(alpha^(-2)+beta^(-2)) viii) (alpha)/(beta^(2))+(beta)/(alpha^(2))

Answer»


Answer :i) `(-b)/(a)` ii) `(b^(2)-2AC)/(C^(2))` III) `(3abc-b^(3))/(a^(3))` iv) `(b^(2)(b^(2)-4AC))/(a^(2)c^(2))` v) `bc^(4)((3ac-b^(2)))/(a^(7))` VI) `(b^(2)-2ac)/(a^(2))` vii) `(c^(2))/(a^(2))` viii) `(3abc-b^(3))/(ac^(2))`


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