MathDB

Give positive numbers

p,q,a,b,c

, if

p,a,q

is a geometric series,

p,b,c,q

is an arithmetic sequence. Then, wich is true about the equation

bx^2-ax+c=0

\text{(A)}

It has no real roots.

\text{(B)}

It has two equal real roots.

\text{(C)}

It has two different real roots, and their product is positive.

\text{(D)}

It has two different real roots, and their product is negative.

Problem Statement