algebra
posted by lee .
find the real solution of the equation by graphing
6x^32x=9x^2
i got 0.2,1.7 is this correct

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