Final answer to the problem
$y=\frac{\left(x+2\right)^3\sqrt{x}}{\sqrt[3]{\left(x-\frac{1}{2}\right)^2-\frac{5}{4}}}$
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Step-by-step Solution
Learn how to solve completing the square problems step by step online. Solve the rational equation y=((x+2)^3x^(1/2))/((x^2-x+-1)^(1/3)). Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Calculate the power {\left(\left(-\frac{1}{2}\right)\right)}^2. Multiply the fraction and term in - \frac{1}{4}. Simplify the addition \left(x- \frac{1}{2}\right)^2-1-\frac{1}{4}.
Final answer to the problem
$y=\frac{\left(x+2\right)^3\sqrt{x}}{\sqrt[3]{\left(x-\frac{1}{2}\right)^2-\frac{5}{4}}}$
