Solve x=sqrt[15/12]{1300/800}-1

$$x = \sqrt[ \frac{ 15 }{ 12 } ]{ \frac{ 1300 }{ 800 } } -1$$

Solve for x

$$x=\frac{2^{\frac{3}{5}}\times 13^{\frac{4}{5}}-8}{8}\approx 0.474628734$$

Steps for Solving Linear Equation

Reduce the fraction \frac{1300}{800} to lowest terms by extracting and canceling out 100.

$$x=\sqrt[\frac{15}{12}]{\frac{13}{8}}-1$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$x=\sqrt[\frac{5}{4}]{\frac{13}{8}}-1$$

Assign x (complex solution)

$$x≔\frac{8^{\frac{3}{5}}\left(8^{\frac{2}{5}}+13^{\frac{2}{5}}\right)\left(8^{\frac{3}{5}}\times 13^{\frac{2}{5}}-8\right)}{64}$$

Assign x

$$x≔\frac{13^{\frac{4}{5}}\sqrt[5]{8}}{8}-1$$