SOLUTION: Find the roots of the quadratic function 12x = 4x^2 + 4

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Question 1090196: Find the roots of the quadratic function 12x = 4x^2 + 4
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
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12x = 4x^2 + 4,

4x^2 - 12x + 4 = 0,

x^2 - 3x + 1 = 0,

x%5B1%2C2%5D = %283+%2B-+sqrt%283%5E2+-4%2A1%29%29%2F2 = %283+%2B-+sqrt%285%29%29%2F2.


The roots are  %283+%2B+sqrt%285%29%29%2F2  and  %283+-+sqrt%285%29%29%2F2.

On quadratic formula for solving 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".