algebra

find the real solution of the equation by graphing
6x^3-2x=-9x^2

i got 0.2,-1.7 is this correct

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asked by lee
  1. 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

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    posted by Bosnian
  2. thank you for checking and helping

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    posted by lee

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