x2-x-72=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 -72 and whose sum is -1.

-9,8

Write the factored form using these integers.

(x-9)(x+8)=0

(x-9)(x+8)=0

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

x-9=0

x+8=0

Set the first factor equal to 0.

x-9=0

Add 9 to both sides of the equation.

x=9

x=9

Set the next factor equal to 0.

x+8=0

Subtract 8 from both sides of the equation.

x=-8

x=-8

The final solution is all the values that make (x-9)(x+8)=0 true.

x=9,-8

Solve using the Square Root Property x^2-x-72=0