abbymendez02 abbymendez02
  • 12-09-2020
  • Mathematics
contestada

[tex]x(x^2+8)=8(x+1)[/tex]x(x^2+8)=8(x=1)

Respuesta :

Estellia
Estellia Estellia
  • 12-09-2020

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]x\left(x^2+8\right)=8\left(x+1\right)[/tex]

Expand:

[tex]x\times x^2+8x=8x+8\times 1[/tex]

[tex]x^3+8x=8x+8[/tex]

Subtract 8x from both sides:

[tex]x^3+8x-8x=8x+8-8x[/tex]

[tex]x^3=8[/tex]

Cube root both sides:

[tex]\sqrt[3]{x^3} =\sqrt[3]{8}[/tex]

[tex]x=2[/tex]

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