`G_1, G_2,G_3, G_4` are the geometric means between positive numbers a and b then the quadratic equation `(G_1+ G_3) G_2 G_3x^2 -G_2x-(G_1 +G_3)G_1G_4=0` has roots which are

G_(1),G_(2),G_(3),G_(4) are the geometric means between positive numbers a and b then the quadratic equation (G_(1)+G_(3))G_(2)G_(3)x^(2)-G_(2)x-(G_(1)+G_(3))G_(1)G_(4)=0 has roots which are

If G_(1) . G_(2) , g_(3) are three geometric means between two positive numbers a and b , then g_(1) g_(3) is equal to

If g_(1) , g_(2) , g_(3) are three geometric means between two positive numbers a and b , then g_(1) g_(3) is equal to

If g_(1), g_(2), g_(3) are three geometric means between two positive numbers a,b then g_(1) g_(3) =

If G is the geometric mean between two distinct positive numbers a and b, then show that 1/(G-a)+1/(G-b)=1/G

If G is the geometric mean between two distinct positive numbers a and b, then show that 1/(G-a)+1/(G-b)=1/G .

IF g_1,g_2g_3 are three geometric means between "m" and "n". Then g_1.g_3=g_2^2 =…….

If a be one A.M and G_1 and G_2 be then geometric means between b and c then G_1^3+G_2^3=

If a be one A.M and G_1 and G_2 be then geometric means between b and c then G_1^3+G_2^3=

If G_1 and G_2 are two geometric means inserted between any two numbers and A is the arithmetic mean of two numbers, then the value of (G_1^2)/G_2+(G_2^2)/G_1 is: