Question

timed problem
score:2/10 current time:26.8
what is the sum of the roots?
$-3x^2 + 2x - 5 = 0$
answer
$\frac{2}{3}$ $\frac{5}{3}$ $-\frac{5}{3}$ $-\frac{2}{3}$

Explanation:

Step1: Recall Vieta's formula for sum

For quadratic $ax^2+bx+c=0$, sum = $-\frac{b}{a}$

Step2: Identify a, b from given equation

Given $-3x^2+2x-5=0$, so $a=-3$, $b=2$

Step3: Calculate sum of roots

$\text{Sum} = -\frac{2}{-3} = \frac{2}{3}$

Answer:

$\frac{2}{3}$