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

$2 x^{2} + x - 3 = 0$

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.

$a = 2$ , $b = 1$ , $c = - 3$

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

Move the negative in front of the fraction.

$- \frac{1}{2}$

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

Move the negative in front of the fraction.

$- \frac{3}{2}$

List the results.

Sum of the roots is $- \frac{1}{2}$

Product of the roots is $- \frac{3}{2}$