Question

timed problem
score: 3/10 current time: 38.2
what is the sum of the roots?
-3x² - 10x + 7 = 0
answer
-7/3 10/3 7/3 -10/3

Explanation:

Step1: Recall Vieta's formula for sum of roots

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

Step2: Identify a and b values

From $-3x^2-10x+7=0$, $a=-3$, $b=-10$.

Step3: Calculate sum of roots

Substitute into formula: $-\frac{b}{a} = -\frac{-10}{-3} = \frac{10}{3}$

Answer:

$\frac{10}{3}$ (corresponding to the second option: $\frac{10}{3}$)