Final answer to the problem
$y=\frac{3}{\left(x-\frac{1}{4}\right)^2+\frac{1}{2}-\frac{1}{16}}$
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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=6/(2x^2-x+1). Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{1}{2}x+\frac{1}{16}. Multiply the fraction and term in - \frac{1}{4}.
Final answer to the problem
$y=\frac{3}{\left(x-\frac{1}{4}\right)^2+\frac{1}{2}-\frac{1}{16}}$
