Find the Sum and Product of the Roots of the Quadratic Equation x^2+5x+7=0

$x^{2} + 5 x + 7 = 0$

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.

$a = 1$ , $b = 5$ , $c = 7$

Substitute the values into the sum of roots formula $- \frac{b}{a}$ .

Divide $- 5$ by $1$ .

$- 5$

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

Divide $7$ by $1$ .

$7$

List the results.

Sum of the roots is $- 5$

Product of the roots is $7$