SOLUTION: Solve the Quadratic Equation: (x-1)^x-5(x-1)-6=0

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Question 1088367: Solve the Quadratic Equation: (x-1)^x-5(x-1)-6=0
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is written in the post is not a quadratic equation.


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Comment from student: Ah.. sorry I didn't simplify it enough, but now I got it, the equation is x^2-6x-1=0
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My response: 

x%5E2+-+6x+-+1 = 0  ====>  Use quadratic formula  ====>

x%5B1%2C2%5D = %286+%2B-+sqrt%286%5E2+%2B+4%29%29%2F2 = %286+%2B-+sqrt%2840%29%29%2F2 = 3+%2B-+sqrt%2810%29.


x%5B1%5D = 3+%2B+sqrt%2810%29;   x%5B2%5D = 3+-+sqrt%2810%29.

Solved.


On using quadratic formula to solve quadratic equations 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".