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)
Guest
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: \((-1)^{\frac{1}{3}}(6)^{\frac{1}{3}}\), \(\sqrt[3]{6}= 6^{\frac{1}{3}}\), \((-1)^{\frac{2}{3}}(6)^{\frac{1}{3}}\)