SOLUTION: solve equation by completing the square x^2 + 10x + 13 = 0

Question 133273: solve equation by completing the square
x^2 + 10x + 13 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract from both sides

Factor out the leading coefficient

Take half of the x coefficient to get (ie ).

Now square to get (ie )

Now add and subtract this value inside the parenthesis. Doing both the addition and subtraction of does not change the equation

Now factor to get

Distribute

Multiply

Now add to both sides to isolate y

Combine like terms

Now to solve for x, let

Add to both sides

Divide both sides by

Reduce

Take the square root of both sides

Subtract from both sides

----------------------------------------------------
Answer:

So the solutions are

or
RELATED QUESTIONS
Solve x^2-10x-2=0 by completing the... (answered by Fombitz)

Solve by completing the square. x^2 � 10x + 24 = 0 (answered by Nate)

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

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

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

Solve by completing the square: x^2 + 8x + 13 =... (answered by josmiceli)

Solve by completing the square: x^2 + 8x + 13 = 0 (answered by J2R2R)

x to the 2nd power +10x +10=0 Solve the equation by completing the... (answered by algebrapro18)

Solve the following quadratic equation by completing the square: 2x^2 +10x + 11 = 0 (answered by venugopalramana)