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Question

If a > 0, b > 0, c > 0 are positive read numbers in AP. If ax2+bx+c=0 has real roots then 



A

acca23

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B

acca23

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C

ac+ca23

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D

ac+ca23

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Solution

The correct option is A

acca23


a,b,c are in AP
2b=a+c
b24ac=(a+c2)24ac=a2+c2+2ac44ac=a2+c214ac4
real roots b24ac0a2+c214ac0.a2+c214acac+ca2142==(acca)212oracca23.


Mathematics

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