SOLUTION: i need help on how to solve the following by solving the square: 3x^2-2x=1=5

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Question 313511: i need help on how to solve the following by solving the square:
3x^2-2x=1=5
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you mean, "solve the following by completing the square:"
3x^2 - 2x + 1 = 5
:
3x^2 - 2x + ___ = 5 - 1
:
3x^2 - 2x + ___ = 4
Coefficient of x^2 has to be 1, divide by 3:
x^2 - 2%2F3x + ___ = 4%2F3
Find the third term to complete the square
x^2 - 2%2F3x + 1%2F9 = 4%2F3 + 1%2F9
:
x^2 - 2%2F3x + 1%2F9 = 12%2F9 + 1%2F9
:
x^2 - 2%2F3x + 1%2F9 = 13%2F9
:
(x - 1%2F3)^2 = 13%2F9
:
x - 1%2F3 = +/-sqrt%2813%2F9%29
Two solutions
x = 1%2F3 + sqrt%2813%2F9%29
x = 1%2F3 + %281%2F3%29sqrt%2813%29
x = %281+%2B+sqrt%2813%29%29%2F3
and
x = 1%2F3 - sqrt%2813%2F9%29
x = 1%2F3 - %281%2F3%29sqrt%2813%29
x = %281+-+sqrt%2813%29%29%2F3