Final answer to the problem
$x=\frac{5}{2}+\sqrt{2}i,\:x=\frac{5}{2}-\sqrt{2}i$
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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
- 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 $a$ ($-5$) to all terms
$-5\left(x^2-5x+\frac{1}{5}\right)=0$
Learn how to solve quadratic equations problems step by step online.
$-5\left(x^2-5x+\frac{1}{5}\right)=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation -5x^2+25x+-1=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-5) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-5x+\frac{25}{4}. Multiply the fraction and term in - \frac{5}{2}.
Final answer to the problem
$x=\frac{5}{2}+\sqrt{2}i,\:x=\frac{5}{2}-\sqrt{2}i$
