Completing the sqaure

x^2+14x+34

-7-√15

Step-by-step explanation:

First move the constant to the right hand side and change it's sign

x^2+14x=-34

Then add (14/2) ^2 or 7^2 to both sides

x^2+14x+49=-34+49

Then factor the expression

(x+7) ^2=-34+49

Then solve (x+7) ^2=15

You should get:

x=-√15-7

or

x=√15-7