SOLUTION: {{{ 2x = 3x^2 + 6 }}}

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Question 132704This question is from textbook Geometry
: +2x+=+3x%5E2+%2B+6+ This question is from textbook Geometry

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2x = 3x^2 + 6
3x^2 - 2x + 6 = 0
x = [2 +- sqrt(4-4*3*6)]/6
x = [2 +- sqrt(-68)]/6
x = [2 +- 2isqrt(17)]/6
x = [1 +- isqrt(17)]/3
============================
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2x+=+3x%5E2+%2B+6+
subtract 2x from both sides
3x%5E2+-+2x+%2B+6+=+0
Use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A3%2A6+%29%29%2F%282%2A3%29+
x+=+%28+2+%2B-+sqrt%28+-68+%29%29%2F6+
x+=+%28+2+%2B-+sqrt%284%2A%28-17%29+%29%29%2F6+
x+=+%28+1+%2B-+sqrt%2817%29%2Ai%29%2F3 answer