SOLUTION: Please help me solve for x using the quadratic formula. And state whether the roots are real or non-real. X^2+10x+25=0

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Question 1071550: Please help me solve for x using the quadratic formula. And state whether the roots are real or non-real. X^2+10x+25=0
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%281%2C3%2Cx%5E2%2B10x%2B25%2C%22%22=%22%22%2C0%29

Compare to

matrix%281%2C3%2CAx%5E2%2BBx%2BC%2C%22%22=%22%22%2C0%29

The coefficient of x2 is 1 understood:

matrix%281%2C3%2C1x%5E2%2B10x%2B25%2C%22%22=%22%22%2C0%29

matrix%281%2C3%2C%22A=1%2C%22%2C%22B=10%2C%22%2CC=25%29

matrix%281%2C3%2Cx%2C%22%22=%22%22%2C%28-B+%2B-+sqrt%28B%5E2-4AC+%29%29%2F%282A%29+%29 

 

matrix%281%2C3%2Cx%2C%22%22=%22%22%2C%28-10+%2B-+sqrt%28100-100+%29%29%2F2+%29

matrix%281%2C3%2Cx%2C%22%22=%22%22%2C%28-10+%2B-+sqrt%280+%29%29%2F2+%29

matrix%281%2C3%2Cx%2C%22%22=%22%22%2C%28-10+%2B-+0%29%2F2+%29

matrix%281%2C3%2Cx%2C%22%22=%22%22%2C%28-10%29%2F2+%29

matrix%281%2C3%2Cx%2C%22%22=%22%22%2C-5+%29

Edwin

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Also, see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.

Also, there is this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Quadratic equations".