SOLUTION: find an equation with coefficients whose roots are 2 plus and minus the square root of 3 divided by 3

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Question 122621: find an equation with coefficients whose roots are 2 plus and minus the square root of 3 divided by 3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find an equation with coefficients whose roots are 2 plus and minus the square root of 3 divided by 3
:
x = %282%2B-sqrt%283%29%29%2F3
:
Multiply both sides by 3:
3x = 2%2B-sqrt%283%29
:
Subtract 2 from both sides
3x - 2 = +/-sqrt%283%29
:
Square both sides:
(3x-2)^2 = 3
:
FOIL
9x^2 - 12x + 4 = 3
:
Subtract 3 from both sides:
9x^2 - 12x + 4 - 3 = 0
:
9x^2 - 12x + 1 = 0 is our equation