Final answer to the problem
$x=\frac{224}{31}+\sqrt{2}i,\:x=\frac{224}{31}-\sqrt{2}i$
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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
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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 $a$ ($-31$) to all terms
$-31\left(x^2-\frac{448}{31}x-\frac{896}{31}\right)=0$
Learn how to solve completing the square problems step by step online. Solve the quadratic equation -31x^2+448x+896=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-31) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{448}{31}x+\frac{50176}{961}. Multiply the fraction and term in - \frac{224}{31}.
Final answer to the problem
$x=\frac{224}{31}+\sqrt{2}i,\:x=\frac{224}{31}-\sqrt{2}i$
