y2-9y+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.

(y-7)(y-2)=0

(y-7)(y-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.

y-7=0

y-2=0

Set the first factor equal to 0.

y-7=0

Add 7 to both sides of the equation.

y=7

y=7

Set the next factor equal to 0.

y-2=0

Add 2 to both sides of the equation.

y=2

y=2

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

y=7,2

Solve for y y^2-9y+14=0