ArjanN82589 ArjanN82589
  • 25-10-2022
  • Mathematics
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Solve the following equation by factoring. Separate multiple answers with a comma x^3 - 10x = 3x^2

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AubrynnU94686 AubrynnU94686
  • 25-10-2022

Given the equation:

[tex]x^3-10x=3x^2[/tex]

We will solve the equation by factoring as follows:

Make all terms on the left side of the equations:

[tex]x^3-3x^2-10x=0[/tex]

Take x as a common factor from all terms:

[tex]x(x^2-3x-10)=0[/tex]

Factor the equation:

[tex]x(x-5)(x+2)=0[/tex]

Solve:

[tex]\begin{gathered} x=0 \\ \\ (x-5)=0\rightarrow x=5 \\ \\ (x+2)=0\rightarrow x=-2 \end{gathered}[/tex]

so, the answer will be x = { -2, 0 , 5 }

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