Solve for x x^5-5x^2=0

Problem

x5−5*x2=0

Solution

1. Factor out the greatest common factor, which is x2

x2*(x3−5)=0

2. Apply the zero product property by setting each factor equal to zero.

x2=0

x3−5=0

3. Solve the first equation for x

x=0

4. Solve the second equation for x by isolating the variable and taking the cube root.

x3=5

x=√(3,5)

Final Answer

x=0,√(3,5)

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