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