Final answer to the problem
$k=-\frac{1}{18}+\sqrt{2}i,\:k=-\frac{1}{18}-\sqrt{2}i$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for k
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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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 $a$ ($-9$) to all terms
Learn how to solve problems step by step online.
$-9\left(k^2+\frac{1}{9}k+\frac{2}{3}\right)=0$
Learn how to solve problems step by step online. Solve the quadratic equation -9k^2-k+-6=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-9) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial k^2+\frac{1}{9}k+\frac{1}{324}. Divide both sides of the equation by -9.
Final answer to the problem
$k=-\frac{1}{18}+\sqrt{2}i,\:k=-\frac{1}{18}-\sqrt{2}i$
