Find the Sum and Product of the Roots of the Quadratic Equation 4x^2-8x=-1

$4 x^{2} - 8 x = - 1$

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

Add $1$ to both sides of the equation.

$4 x^{2} - 8 x + 1 = 0$

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.

$a = 4$ , $b = - 8$ , $c = 1$

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

Divide $8$ by $4$ .

$2$

List the results.

Sum of the roots is $2$

Product of the roots is $\frac{1}{4}$