Question

Answer 1

\(\sqrt[3]{13-x}+\sqrt[3]{22+x}=5\)

=>\(\sqrt[3]{13-x}-2+\sqrt[3]{22+x}-3=0\)

=>\(\frac{13-x-8}{\sqrt[3]{\left(13-x\right)^2}+2\cdot\sqrt[3]{13-x}+4}+\frac{22+x-27}{\sqrt[3]{\left(22+x\right)^2}+3\cdot\sqrt[3]{22+x}+9}=0\)

=>\(\left(x-5\right)\left(\frac{-1}{\sqrt[3]{\left(13-x\right)^2}+2\cdot\sqrt[3]{13-x}+4}+\frac{1}{\sqrt[3]{\left(22+x\right)^2}+3\cdot\sqrt[3]{22+x}+9}\right)=0\)

=>x-5=0

=>x=5