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

 Jun 11, 2016
 #1
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+5

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)13(6)1336=613(1)23(6)13

MaxWong  Jun 14, 2016

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