Let `a, b, c, p, q` be the real numbers. Suppose `alpha,beta` are the roots of the equation `x^2+2px+ q=0`. and `alpha,1/beta` are the roots of the equation `ax^2+2 bx+ c=0`, where `beta !in {-1,0,1}`. Statement I `(p^2-q) (b^2-ac)>=0` Statement 11 `b !in pa` or `c !in qa`.

For the following question, choose the correct answer from the codes (a), (b), (c) and (d) defined as follows: Statement I is true, Statement II is also true; Statement II is the correct explanation of Statement I. Statement I is true, Statement II is also true; Statement II is not the correct explanation of Statement I. Statement I is true; Statement II is false Statement I is false; Statement II is true. Let a , b , c , p , q be the real numbers. Suppose alpha,beta are the roots of the equation x^2+2p x+q=0 and alpha,1/beta are the roots of the equation a x^2+2b x+c=0, where beta^2 !in {-1,0,1}dot Statement I (p^2-q)(b^2-a c)geq0 and Statement II b !in p a or c !in q adot

Let a,b,c,p,q be the real numbers.Suppose alpha,beta are the roots of the equation x^(2)+px+q=0 and alpha,(beta)/(2) are the roots of the equation ax^(2)+bx+c=0 where beta^(2)!in{-1,0,1}

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

If alpha and beta ( alpha

If alpha,beta are the roots of the equations ax^(2)+bx+c=0 then the roots of the equation a(2x+1)^(2)+b(2x+1)(x-1)+c(x-1)^(2)=0

If alpha and beta are the roots of the equation x^(2) + px + q =0, then what is alpha ^(2) + beta ^(2) equal to ?

If alpha,beta are the roots of the equation ax^(2)+bx+c=0, then find the roots of the equation ax^(2)-bx(x-1)+c(x-1)^(2)=0 in term of alpha and beta.

alpha and beta are the roots of the equation ax^(2)+bx+c=0 and alpha^(4) and beta^(4) are the roots of the equation lx^(2)+mx+n=0 if alpha^(3)+beta^(3)=0 then 3a,b,c

Let alpha, beta in R. If alpha, beta^(2) are the roots of quadratic equation x^(2) - px + 1 = 0 and alpha^(2), beta are the roots of quadratic equation x^(2) -px + 8 = 0 , then find p, q , alpha, beta .