SOLUTION: need help solving the equation by completing the square 3x^2-18x+28=0

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Question 1877: need help solving the equation by completing the square 3x^2-18x+28=0
Found 2 solutions by usyim88hk, longjonsilver:
Answer by usyim88hk(158) About Me  (Show Source):
You can put this solution on YOUR website!
First move 28 to the other side
3x^2-18x = -28
Then take 3 out from 3x^2-18x
3(x^2-6x) = -28
Complete the square for x^2-6x which should be 9
3(x^2-6x+9) = -28+27 (add 27 because 9 times 3 is 27)
Now factor x^2-6x+9
3(x-3)^2 = -1
Divide -1 by 3
(x-3)^2 = -1/3
This equation has no solution because the square of a number can not be a negative number. You can not take the square root of a negative which is -1/3 in this case. So this problem has no solution.

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2+-+18x+=+-28
x%5E2+-+6x+=+-%2828%2F3%29
now 2a = 6, so a=3, and a^2 = 9
Adding 9 to both sides, means that the LHS is now the correct form to factorise
x%5E2+-+6x+%2B+9+=+-%2828%2F3%29+%2B+9
%28x-3%29%5E2+=+-%281%2F3%29
%28x-3%29 = +- sqrt%28-1%2F3%29 which has no real solution. Therefore enter Complex numbers...
x-3 = +- %28sqrt%281%2F3%29%29i
x+=+3+%2B-+%28sqrt%281%2F3%29%29i
cheers
Jon.