If there is exactly one root of the equation ax^2 + x + b, where a and b are positive constants, what is b in terms of a?  Choose the correct choice from the following options:
A) 1/4a
B) a
C) 3a/2
D) a^2/2
E) a^2/4
one root for a quadratic equation ax^2+bx+c is possible only when b^2 = 4ac ---1   Here   c= b   b = 1   substituting these values in 1, we have   1^2 = 4ab =&gt; b =1/4a   1/4answer is 1/4a.
<result>A</result>
If there is exactly one root of the equation ax^2 + x + b, where a and b are positive constants, what is b in terms of a?