SOLUTION: Can some one help me please. Solve by completing the square x^2 + 8x + 13 = 0 Thank you inadavance.

Question 114754: Can some one help me please.
Solve by completing the square
x^2 + 8x + 13 = 0
Thank you inadavance.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Subtract 13 from both sides

Take half of the x coefficient 8 to get 4 (ie )
Now square 4 to get 16 (ie )

Add this result (16) to both sides. Now the expression is a perfect square trinomial.

Factor into (note: if you need help with factoring, check out this solver)

Combine like terms on the right side

Take the square root of both sides

Subtract 4 from both sides to isolate x.

So the expression breaks down to
or

So our answer is approximately
or

Here is visual proof

graph of

When we use the root finder feature on a calculator, we would find that the x-intercepts are and , so this verifies our answer.

RELATED QUESTIONS
Can you please show me step by step how to solve the following; Solve by completing... (answered by scott8148)

hi, solve by completing the square x^2-2x-7=0. can you please help me? thank... (answered by jim_thompson5910)

Can you please help me by showing me how to solve the following. It says solve the... (answered by chessace)

can you explain this to me please solve by completing the squaqr root property.... (answered by ankor@dixie-net.com,jim_thompson5910)

can you please help me solve by completing the square of: (((... (answered by Mathtut)

can you please help me solve by completing the square ((( x^2-x-1=0... (answered by solver91311)

can you please help me solve by completing the square of ((( x^2-x-1=0... (answered by josmiceli)

Solve by completing the square:... (answered by Earlsdon)

Solve by completing the square... (answered by stanbon)