Let A,B be the roots of ax^2 + bx + c = 0. If A+B, A^2 + B^2, A^3 +B^3 are in GP and D=b^2 - 4ac, then
D not= 0              D=0               bD=0                 cD=0
Please help me with this..

Dear Student,
Please find below the solution to the asked query:

We haveax2+bx+c=0Roots are A and BA+B=-baAB=caA+B,A2+B2,A3+B3 are oin G.P., thenA2+B22=A+BA3+B3A+B2-2AB2=A+BA+B3-3ABA+Bb2a2-2ca2=-ba-b3a3+3cabab2-2ac2a4=bab3-3abca3b2-2ac2=b4-3ab2cb4+4a2c2-4ab2c=b4-3ab2c4a2c2-4ab2c+3ab2c=04a2c2-ab2c=04ac-b2ac=04ac-b2=0b2-4ac=0D=0 Answer

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