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11-09-2020
Mathematics

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What is the solution of the equation 8x^3 = -64?

Respuesta :

Estellia Estellia

11-09-2020

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]8x^3=-64[/tex]

Divide both sides by 8:

[tex]\frac{8x^3}{8}=\frac{-64}{8}[/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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