Final answer to the problem
$x=\frac{65}{16}+\sqrt{2}i,\:x=\frac{65}{16}-\sqrt{2}i$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- 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
- Load more...
Can't find a method? Tell us so we can add it.
1
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($-16$) to all terms
$-16\left(x^2-\frac{65}{8}x-\frac{3}{16}\right)=0$
Learn how to solve problems step by step online. Solve the quadratic equation -16x^2+130x+3=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-16) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{65}{8}x+\frac{4225}{256}. Multiply the fraction and term in - \frac{65}{16}.
Final answer to the problem
$x=\frac{65}{16}+\sqrt{2}i,\:x=\frac{65}{16}-\sqrt{2}i$
