t2-9t+14=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 14 and whose sum is -9.

-7,-2

Write the factored form using these integers.

(t-7)(t-2)=0

(t-7)(t-2)=0

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

t-7=0

t-2=0

Set the first factor equal to 0.

t-7=0

Add 7 to both sides of the equation.

t=7

t=7

Set the next factor equal to 0.

t-2=0

Add 2 to both sides of the equation.

t=2

t=2

The final solution is all the values that make (t-7)(t-2)=0 true.

t=7,2

Solve using the Square Root Property t^2-9t+14=0