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

N/a

Explanation

(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)`