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In the equation 4x^3=24, what is the value of x?

 Jun 11, 2016
 #1
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Solve for x:
4 x^3 = 24

 

Divide both sides by 4:
x^3 = 6

 

Taking cube roots gives 6^(1/3) times the third roots of unity:
Answer: |  x = -(-6)^(1/3)    or    x = 6^(1/3)    or    x = (-1)^(2/3) 6^(1/3)

 Jun 11, 2016
 #2
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Solve for x:
4 x^3 = 24

 

Divide both sides by 4:
x^3 = 6

 

Taking cube roots gives 6^(1/3) times the third roots of unity:
Answer: |  x = -(-6)^(1/3)    or    x = 6^(1/3)    or    x = (-1)^(2/3) 6^(1/3)

Isn't the answers third roots of unity: \((-1)^{\frac{1}{3}}(6)^{\frac{1}{3}}\)\(\sqrt[3]{6}= 6^{\frac{1}{3}}\)\((-1)^{\frac{2}{3}}(6)^{\frac{1}{3}}\)

MaxWong  Jun 14, 2016

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