Question

.If a, b, c are positive numbers in G.P. then the roots of the equation ax“ + bx + C = 0
1) are real and negative
2) have negative real parts
3) are equal
4) have negative imaginary parts


give answer with explanation....
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Answer 1

a b c .....GP

b^2= ac

D = b^2- 4ac

-3ac

ac= positive

so roots =+-√3 b

option 4