n2+20n+91=0

Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 91 and whose sum is 20.

7,13

Write the factored form using these integers.

(n+7)(n+13)=0

(n+7)(n+13)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

n+7=0

n+13=0

Set the first factor equal to 0.

n+7=0

Subtract 7 from both sides of the equation.

n=-7

n=-7

Set the next factor equal to 0.

n+13=0

Subtract 13 from both sides of the equation.

n=-13

n=-13

The final solution is all the values that make (n+7)(n+13)=0 true.

n=-7,-13

Solve for n n^2+20n+91=0