SOLUTION: x to the 2nd power +10x +10=0 Solve the equation by completing the square

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Question 21752: x to the 2nd power +10x +10=0 Solve the equation by completing the square
Answer by algebrapro18(249) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+10x+10=0

well first you need to get the x's by them selves so subtract 10 from both sides

x^2+10x=-10

now take 1/2 of 10 then square it and then add it to both sides

x^2+10x+(1/2(10))^2=-10+(1/2(10))^2
x^2+10x+(5)^2 = -10 + (5)^2
x^2+10x+25 = -10 + 25

now take the square root of x^2 and 25 and combine like terms on the right side

(x+5)^2=15

now take the square root of both sides

x+5 = sqrt+%2815%29
x = sqrt+%2815%29 - 5