Find the Sum and Product of the Roots of the Quadratic Equation x^2-7x+6=0

$x^{2} - 7 x + 6 = 0$

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.

$a = 1$ , $b = - 7$ , $c = 6$

Step 2

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

Divide $7$ by $1$ .

$7$

Step 3

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

Divide $6$ by $1$ .

$6$

Step 4

List the results.

Sum of the roots is $7$

Product of the roots is $6$