SOLUTION: Solve the equation by completing the square m^2 - 22m - 118 = -3

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Question 1104981: Solve the equation by completing the square
m^2 - 22m - 118 = -3
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
ax%5E2%2Bbx%2Bc=0

x=%28-b%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29

Just follow the formula.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
m%5E2+-+22m+-+118 = -3        ====>

m%5E2+-+22m = -3 + 118 = 115  ====>

m%5E2+-+22m+%2B+11%5E2 = 115+%2B+11%5E2  ====>

%28m-11%29%5E2 = 115 + 121 = 236  ====>

m - 11 = +/- sqrt%28236%29 = +/- 2%2Asqrt%2859%29  ====>

m = 11 +- 2%2Asqrt%2859%29.

Solved.

On completing the square see the lessons
    - HOW TO complete the square - Learning by examples
    - HOW TO solve quadratic equation by completing the square - Learning by examples
in this site.

Also, you have 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".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.