Find the Sum and Product of the Roots of the Quadratic Equation 3x^2-4x-7=0

$3 x^{2} - 4 x - 7 = 0$

Step 1

Find $a$ , $b$ , and $c$ .

Once the quadratic is in standard form, the values of $a$ , $b$ , and $c$ can be found.

$a x^{2} + b x + c$

Use the standard form of the equation to find $a$ , $b$ , and $c$ for this quadratic.

$a = 3$ , $b = - 4$ , $c = - 7$

Step 2

Substitute the values into the product of roots formula $\frac{c}{a}$ .

Move the negative in front of the fraction.

$- \frac{7}{3}$

Step 3

List the results.

Sum of the roots is $\frac{4}{3}$

Product of the roots is $- \frac{7}{3}$