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Question

If a, b, c are distinct positive real numbers such that b(a + c) = 2ac then the roots of ax2+bx+c=0 are


A

real and equal

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B

real and distinct

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C

Imaginary

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D

data insufficient

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Solution

The correct option is C

Imaginary


b=2aca+c b is HM of a & c.
ax2+2bx+c=0 Δ=4b24ac=4(b2ac)
GM of a & c is ac
ac>b2 (GMHM) Δ<0


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