x2-8x+15=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 15 and whose sum is -8.

-5,-3

Write the factored form using these integers.

(x-5)(x-3)=0

(x-5)(x-3)=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-5=0

x-3=0

Set the first factor equal to 0.

x-5=0

Add 5 to both sides of the equation.

x=5

x=5

Set the next factor equal to 0.

x-3=0

Add 3 to both sides of the equation.

x=3

x=3

The final solution is all the values that make (x-5)(x-3)=0 true.

x=5,3

Solve Using the Square Root Property x^2-8x+15=0