SOLUTION: How do you solve x^3-4x=0?
Algebra.Com
Question 709935: How do you solve x^3-4x=0?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Factor. First the greatest common factor of x:
The second factor is a difference of squares and can be factored using the pattern, , with the "a" being "x" and the "b" being "2":
Next we use the Zero Product Property which tells us that this product can be zero only if one (or more) of the factors is zero. So:
x = 0 or x+2 = 0 or x-2 = 0
Solving these we get:
x = 0 or x = -2 or x = 2
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