1.

If alpha and beta are zeroes of a quadratic polynomial ax^(2)+bx+c. Find the value of: (i) alpha^(2)-beta^(2) (ii) alpha^(3)+beta^(3) (iii) alpha^(4)beta+beta^(4)alpha (iv) sqrt((alpha)/(beta))+sqrt((beta)/(alpha)) (v) (alpha^(2))/(beta)+(beta^(2))/(alpha) (alpha^(-1)+(1)/(alpha^(-1)))(beta^(-1)+(1)/(beta^(-1)))

Answer»


Solution :(i)`+-(bsqrt(b^(2)-4AC))/(a^(2))` (II)`(3abc-b^(3))/(a^(3))`(iii) `(bc)/(a^(4))(3ac-b^(2))` (iv)`-(b)/(sqrt(ac))(v)b(3ac-b^(2))/(a^(2)C)`
(vi) `(a^(2)+b^(2)+c^(2)-2ac)/(ac)`


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