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Step-by-step Solution

Solve the equation $\frac{\left(\left(5x+1\right)^{\left(\frac{1}{2}\right)}\right)^{-1}+\left(\left(5x-1\right)^{\left(\frac{1}{2}\right)}\right)^{-1}}{\left(\left(5x-1\right)^{\left(\frac{1}{2}\right)}\right)^{-1}-\left(\left(5x+1\right)^{\left(\frac{1}{2}\right)}\right)^{-1}}=\frac{5}{4}$

Go!
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Step-by-step explanation

Problem to solve:

$\frac{\left(\sqrt[2]{5x+1}\right)^{-1}+\left(\sqrt[2]{5x-1}\right)^{-1}}{\left(\sqrt[2]{5x-1}\right)^{-1}-\left(\sqrt[2]{5x+1}\right)^{-1}}=1.25$

Answer

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$\frac{\left(\sqrt[2]{5x+1}\right)^{-1}+\left(\sqrt[2]{5x-1}\right)^{-1}}{\left(\sqrt[2]{5x-1}\right)^{-1}-\left(\sqrt[2]{5x+1}\right)^{-1}}=1.25$

Main topic:

Rational equations

Time to solve it:

~ 0.6 seconds