Final answer to the problem
$y=\frac{x^3+3x^2-27}{\left(x-\frac{5}{2}\right)^2-\frac{37}{4}}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$
Learn how to solve completing the square problems step by step online.
$y=\frac{x^3+3x^2-27}{x^2-5x-3+{\left(\left(-\frac{5}{2}\right)\right)}^2- {\left(\left(-\frac{5}{2}\right)\right)}^2}$
Learn how to solve completing the square problems step by step online. Solve the rational equation y=(x^3+3x^2+-27)/(x^2-5x+-3). Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Calculate the power {\left(\left(-\frac{5}{2}\right)\right)}^2. Multiply the fraction and term in - \frac{25}{4}. Simplify the addition \left(x- \frac{5}{2}\right)^2-3-\frac{25}{4}.
Final answer to the problem
$y=\frac{x^3+3x^2-27}{\left(x-\frac{5}{2}\right)^2-\frac{37}{4}}$
