SOLUTION: I have plugged this one into the solver and that confused me even more. Solve by completing the square: x^2 + 8x + 13 = 0 I get to (x+4)^2 =3 and then I hit a wall. Please

Question 118925: I have plugged this one into the solver and that confused me even more.
Solve by completing the square:
x^2 + 8x + 13 = 0
I get to (x+4)^2 =3 and then I hit a wall.
Please help!!
You guys are great and thank you in adavnce for your help.
Found 2 solutions by tutor_paul, HyperBrain:
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!

First, get all the x terms on one side of the equation:

Divide the coefficient of x by 2 and square the result. Add this result to both sides of the equation:

Simplify right side of the equation:

Express the right side as a perfect square:

Remember the goal is to solve for x. Take the square root of both sides of the equation:
(x+4)=+-sqrt(3)
Since this is a second order equation, x can assume 2 values. Take the case of the first and solve for x:

Now, take the case of :

Plug each of these results into the original equation to check and see if they are right.
==================
good Luck,
tutor_paul@yahoo.com

Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Remember;

GIVEN:

Here, so
Also, here, so
We have and
Solving simultaneously,

Now we know and

Finding ,

To be , we just add 3 to ,

Power up,
HyperBrain!
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