Evaluer (complex solution)
x=-\frac{2^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\left(\sqrt{3}\sqrt[3]{9\sqrt{109}+101}i-4\sqrt{3}\sqrt[3]{2}i-\sqrt[3]{9\sqrt{109}+101}+2\sqrt[3]{101-9\sqrt{109}}-4\sqrt[3]{2}\right)}{24}\text{ or }x=-\frac{2^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(-\sqrt{3}\sqrt[3]{9\sqrt{109}+101}i-\sqrt[3]{9\sqrt{109}+101}+2\sqrt[3]{101-9\sqrt{109}}-4\sqrt[3]{2}+4\sqrt{3}\sqrt[3]{2}i\right)}{24}\text{ or }x=\frac{2^{\frac{2}{3}}\left(\sqrt[3]{9\sqrt{109}+101}+\sqrt[3]{101-9\sqrt{109}}+4\sqrt[3]{2}\right)}{6}
Løs for x
x = \frac{2 ^ {\frac{2}{3}} {(\sqrt[3]{9 \sqrt{109} + 101} + \sqrt[3]{101 - 9 \sqrt{109}} + 4 \sqrt[3]{2})}}{6} \approx 3,374423763
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