SOLUTION: Solve the equation by completing the square. Simplify your solution(s) and write imaginary solutions as a+bi. 𝑥² − 18𝑥 + 101 = 0

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Question 1059158: Solve the equation by completing the
square. Simplify your solution(s) and write
imaginary solutions as a+bi.
𝑥² − 18𝑥 + 101 = 0
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
. 

1.  First let us complete the square:

     =  =  = .


2.  Having this, you can re-write the original equation as

     = 0,   or

     = .

    Take the square root from both sides:

    x - 9 = +/-,  or

    x =  = .

The equation is solved.
The assignment is completed.

On completing the square see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
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".


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