Multiple choice

$\displaystyle \propto & \beta $ are the roots of equation $\displaystyle 3{ x }^{ 2 }+3x+3=0$, then $\displaystyle \frac { 1 }{ \propto } +\frac { 1 }{ \beta } $

  1. $1$
  2. $-1$
  3. $0$
  4. None

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For 3x^2 + 3x + 3 = 0, the sum of the roots is -3/3 = -1 and their product is 3/3 = 1. Therefore, 1/α + 1/β = (α + β)/(αβ) = -1.