Posted by lee on Monday, November 26, 2012 at 6:51am.
6 x ^ 3 - 2 x = - 9 x ^ 2 Add 9 x ^ 2 to both sides
6 x ^ 3 - 2 x + 9 x ^ 2 = - 9 x ^ 2 + 9 x ^ 2
6 x ^ 3 + 9 x ^ 2 - 2 x = 0
x * ( 6 x ^ 2 + 9 x - 2 )= 0
You equation have 3 solutions:
Obviously solution x = 0
Equation :
6 x ^ 2 + 9 x - 2 = 0
have two solutions :
x1/2= [ - 9 + OR - sqrt ( 129 ) ] / 12
3 solutions are :
x1 = 0
x2 = [ - 9 + sqrt ( 129 ) ] / 12
x3 = [ - 9 - sqrt ( 129 ) ] / 12
Your two soutions are correct but polinomial equation of degre 3 have 3 solutions.
Oneof solutions are x = 0
thank you for checking and helping
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