x2-12x+35=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 35 and whose sum is -12.

-7,-5

Write the factored form using these integers.

(x-7)(x-5)=0

(x-7)(x-5)=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-7=0

x-5=0

Set the first factor equal to 0.

x-7=0

Add 7 to both sides of the equation.

x=7

x=7

Set the next factor equal to 0.

x-5=0

Add 5 to both sides of the equation.

x=5

x=5

The final solution is all the values that make (x-7)(x-5)=0 true.

x=7,5

Solve Using the Square Root Property x^2-12x+35=0