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Grade 12th passAlgebra

Consider a quadratic equation ax^2+2bx+c=0, where a,b,c are positive real numbers. If equation has no real roots then a,b,c are in AP,GPor HP?

Question image for Consider a quadratic equation ax^2+2bx+c=0, where
Profile image of durgesh patel
9 Years agoGrade 12th pass
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2 Answers

Profile image of Upendra rathore
9 Years ago
If roots are not real then D
Therefore; 
(2b)^2-4ac
4b^2-4ac
b^2-ac
b^2
Therefore
Roots are in gp
Profile image of Sarvesh Gharat
7 Years ago
Hp
ax^2+2bx+c
So d should be less than 0
So 4b^2-4ac
b^2-ac
Put value of b=a+c/2 for ap,(ac)^1/2 for gp nd 2ac/a+c for hp nd solve ahead 
On solving condition is only satisfied for hp

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