Final answer to the problem
$y=\frac{5}{2}+\sqrt{-x^{2}-8x-\frac{11}{4}},\:y=\frac{5}{2}-\sqrt{-x^{2}-8x-\frac{11}{4}}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Solve for y
- Find the derivative
- Solve by implicit differentiation
- Solve for y'
- Find dy/dx
- Derivative
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
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1
Group the terms of the equation
$y^2-5y=-x^2-8x-9$
Learn how to solve problems step by step online. Solve the quadratic equation x^2+y^28x-5y+9=0. Group the terms of the equation. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-1) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+8x+16.
Final answer to the problem
$y=\frac{5}{2}+\sqrt{-x^{2}-8x-\frac{11}{4}},\:y=\frac{5}{2}-\sqrt{-x^{2}-8x-\frac{11}{4}}$
