If `a\ a n d\ b` are the roots of `x^2-3x+p=0\ a n d\ c ,\ d` are the roots `x^2-12 x+q=0` where `a , b , c , d` form a G.P. Prove that `(q+p):(q-p)=17 : 15.`

If a and b are the roots of x^(2)-3x+p=0 and c,d are the roots x^(2)-12x+q=0 where a,b,c,d form a G.P. Prove that (q+p):(q-p)=17:15.

If p and q are the roots of x^(2)+px+q=0 then find p.

Let a and b be roots of x^(2)-3x+p=0 and let c and d be the roots of x^(2)-12x+q=0 where a,b,c,d form an increasing G.P.Then the ratio of (q+p):(q-p) is equal to

If alpha and beta are roots of x^2-3x+p=0 and gamma and delta are the roots of x^2-6x+q=0 and alpha,beta,gamma,delta are in G.P. then find the ratio of (2p+q):(2p-q)

If a,b are the roots of x^(2)+px+1=0 and c d are the roots of x^(2)+qx+1=0, Then ((a-c)(b-c)(a+d)(b+d))/(q^(2)-p^(2))

Let alpha and beta be the roots of x^(2)-x+p=0 and gamma and delta be the root of x^(2)-4x+q=0. If alpha,beta, and gamma,delta are in G.P. then the integral values of p and q respectively,are -2,-32 b.-2,3 c.-6,3 d.-6,-32

If p and q are the roots of the equation x^2 - 15x + r = 0 and. p - q = 1 , then what is the value of r?

Let a,b are roots of equation x^(2)-3x+p=0 and c,d are roots of equation x^(2)-12x+q=0. If a,b,c,d (taken in that order) are in geometric progression then (q+p)/(q-p) is equal to (A) (5)/(7) (B) (15)/(17) (C) (17)/(15) (D) (7)/(5)

If a,b are roots of x^2+px+q=0 and c,d are the roots x^2-px+r=0 then a^2+b^2+c^2+d^2 equals (A) p^2-q-r (B) p^2+q+r (C) p^2+q^2-r^2 (D) 2(p^2-q+r)