x2-10x+24=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 24 and whose sum is -10.

-6,-4

Write the factored form using these integers.

(x-6)(x-4)=0

(x-6)(x-4)=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-6=0

x-4=0

Set the first factor equal to 0.

x-6=0

Add 6 to both sides of the equation.

x=6

x=6

Set the next factor equal to 0.

x-4=0

Add 4 to both sides of the equation.

x=4

x=4

The final solution is all the values that make (x-6)(x-4)=0 true.

x=6,4

Solve using the Square Root Property x^2-10x+24=0