SOLUTION: Please can you help me find x ((( 3x² - 6x + 1 = 0 )))

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Question 50864: Please can you help me find x
((( 3x² - 6x + 1 = 0 )))
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+3x%5E2+-+6x+%2B+1+=+0+
This can not be factored ... use the quadratic formula.
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
Plug in the values for a, b, and c
x+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A%283%29%2A%281%29+%29%29%2F%282%2A%283%29%29+
Solving step by step .... -(-6) = 6
x+=+%286+%2B-+sqrt%28+%28-6%29%5E2-4%2A%283%29%2A%281%29+%29%29%2F%282%2A%283%29%29+
.... (-6)^2= 36
x+=+%286+%2B-+sqrt%28+36-4%2A%283%29%2A%281%29+%29%29%2F%282%2A%283%29%29+
.... 4 * 3 = 12
x+=+%286+%2B-+sqrt%28+36-12%2A%281%29+%29%29%2F%282%2A%283%29%29+
.... 12 * 1 = 12
x+=+%286+%2B-+sqrt%28+36-12+%29%29%2F%282%2A%283%29%29+
... 36 - 12 = 24
x+=+%286+%2B-+sqrt%28+24+%29%29%2F%282%2A%283%29%29+
.... 2 * 3 = 6
x+=+%286+%2B-+sqrt%28+24+%29%29%2F%286%29+
.... sqrt24 = 2sqrt6
x+=+%286+%2B-+2sqrt%28+6+%29%29%2F%286%29+
Reduce the fraction
x+=+%283+%2B-+sqrt%28+6+%29%29%2F%283%29+