Final answer to the problem
$y=\frac{1}{4\left(\left(x-\frac{3}{8}\right)^2+\frac{9}{4}-\frac{9}{64}\right)}$
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Step-by-step Solution
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- Differential
- Find the derivative
- Find the integral
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
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1
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($4$) to all terms
Learn how to solve completing the square problems step by step online.
$y=\frac{1}{4\left(x^2-\frac{3}{4}x+\frac{9}{4}\right)}$
Learn how to solve completing the square problems step by step online. Solve the rational equation y=1/(4x^2-3x+9). Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (4) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{3}{4}x+\frac{9}{64}. Multiply the fraction and term in - \frac{3}{8}.
Final answer to the problem
$y=\frac{1}{4\left(\left(x-\frac{3}{8}\right)^2+\frac{9}{4}-\frac{9}{64}\right)}$
