SOLUTION: Can you please show me step by step how to solve the following; Solve by completing the square x^2+8x+13=0

Algebra ->  Square-cubic-other-roots -> SOLUTION: Can you please show me step by step how to solve the following; Solve by completing the square x^2+8x+13=0      Log On


   

Question 124219: Can you please show me step by step how to solve the following;
Solve by completing the square
x^2+8x+13=0
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
a quadratic (ax^2+bx+c) is a "perfect" square if (b^2)/4a=c

subtract 13 to clear the c value __ x^2+8x=-13

add (b^2)/4a __ x^2+8x+16=3 __ (x+4)^2=3

take sqrt __ x+4=ħsqrt(3)

subtract 4 __ x=-4ħsqrt(3)