Question

Resolva a equação a seguir:
x³+y³+z³=k

Answer 1

Resposta:

x³ + y³ + z³ = k

x³ + y³ + z³- k = 0

y [1,2,3] = \begin{gathered} - \sqrt[3]{x^{3} + z^{3} - k} ,( \frac{1}{2}i \sqrt{3} + \frac{1}{2} ) < /p > < p > \\ \times \sqrt[3]{x^{3} + z^{3} - k} \end{gathered}

−

3

x

3

+z

3

−k

,(

2

1

i

3

+

2

1

)</p><p>

×

3

x

3

+z

3

−k

, \begin{gathered}( -\frac{1}{2} i \sqrt{3} + \frac{1}{2} )\\ \times\sqrt[3]{x^{3} + z ^{3} - k} \end{gathered}

(−

2

1

i

3

+

2

1

)

×

3

x

3

+z

3

−k

A Resposta será \sqrt[3]{x^{3} + z ^{3} - k}

3

x

3

+z

3

−k