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Solve x^2+3x+5=0...

Solve `x^2+3x+5=0`

A

only purely imaginary roots

B

all real roots

C

two real and two purely imaginary roots

D

neither real nor purely imaginary roots

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The correct Answer is:
A, D
Sicne `b=0` for `p(x)=ax^(2)+bx+c` as roots are pure imaginary.
`impliesx=+-sqrt((-c+-isqrt(c)))/a)`, which are clearly neigher pure real nor pure imaginary as `c!=0`
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