Question

Las medidas del ángulo ∝ son: S°,〖C 〗^g y R rad. Si (s-c)/(S^(2/3)+(CS)^(1/3)+C^(2/3) )+C^(1/3)=3, halle la medida de ∝.

Answer 1

$\dfrac{S-C}{S^{2/3}+(CS)^{1/3}+C^{1/3}}}=3\\\\\\\dfrac{(S^{1/3})^3-(C^{1/3})^3}{S^{2/3}+(CS)^{1/3}+C^{1/3}}}=3\\\\\\S^{1/3}-C^{1/3}=3\\\\S^{1/3}-\sqrt[3]{10/9}~S^{1/3}=3\\\\S^{1/3}=\dfrac{3}{1-\sqrt[3]{10/9}}\\\\\\S=\dfrac{27}{\left(1-\sqrt[3]{10/9}\right)^3}$