Show that the solution of the equation `[(x, y),(z, t)]^(2)=O` is `[(x,y),(z,t)]=[(pm sqrt(alpha beta),-beta),(alpha,pm sqrt(alpha beta))]` where `alpha, beta` are arbitrary.

alpha beta x ^(alpha-1) e^(-beta x ^(alpha))

If alpha and beta are the roots of the equation x^(2)-ax+b=0 ,find Q (a)(alpha)/(beta)+(beta)/(alpha)

If alpha and beta are the roots of the equation x^(2)-ax+b=0 ,find Q(b) (1)/(alpha)+(1)/(beta)

If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0 , find the value of (i) (alpha)/(beta) + (beta)/(alpha) (ii) alpha-beta (iii) (alpha^(2))/(beta) + (beta^(2))/(alpha)

If alpha and beta are the roots of the equation x^(2) -1 =0 " then " (2alpha)/(beta ) + (2 beta)/(alpha) is equal to ..........

If alpha+ beta=-7 and alpha beta=10 then find the value of alpha-beta=__ .

If alpha and beta are roots of the equation x^(2) + 2x + 8 = 0 the the value of (alpha)/(beta) + (beta)/(alpha) is ………….. .