Let `alpha,beta in Rdot` If `alpha,beta^2` are the roots of quadratic equation `x^2-p x+1=0. a n dalpha^2,beta` are the roots of quadratic equation `x^2-q x+8=0,` then find `p ,q,alpha,betadot`

Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equation x^2-p x+1=0a n dalpha^2,beta is the roots of quadratic equation x^2-q x+8=0 , then the value of rifr/8 is the arithmetic mean of p and q , is a. (83)/2 b. 83 c. (83)/8 d. (83)/4

If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0 , then find the values of alpha+beta+1

Let alpha,beta be the equation x^2-px+r=0 and alpha/2,2beta be the roots of the equation x^2-qx+r=0. Then, the value of r is

If alpha,beta are the roots of the quadratic equation x^2+ax+b=0 , (bne0) , then the quadratic equation whose roots are alpha-1/beta,beta-1/alpha is

IF alpha and beta are the roots of the equation x(x-3)=4, find the value of alpha^2+beta^2 .

IF alpha and beta be the roots of the equation x^2+px+q=0 show that alpha/beta is a root of the equation qx^2-(p^2-2q)x+q=0 .

If the roots of the equation x^2-px+q=0 be alpha,beta and the roots of the equation x^2-ax+b=0 be alpha,1/beta then prove that, bq(a-p)^2=(q-b)^2 .

IF the roots of the equation 3x^2+8x+2=0 are alpha,beta then (1/alpha+1/beta) =

If alphaandbeta be the roots of the equation x^(2)-px+q=0 then, (alpha^(-1)+beta^(-1))=(p)/(q) .

alpha,beta are the roots of the equation (a-2)x^2-(5-a)x-5=0 .Find 'a' if abs(alpha-beta)=2sqrt6