Final answer to the problem
$x=\frac{-5+\sqrt{33}}{2},\:x=\frac{-5-\sqrt{33}}{2}$
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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 $a$ ($-1$) to all terms
$-\left(x^2+5x-2\right)=0$
Learn how to solve quadratic equations problems step by step online.
$-\left(x^2+5x-2\right)=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation -x^2-5x+2=0. 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+5x+\frac{25}{4}. Simplify the addition \left(x+\frac{5}{2}\right)^2-2-\frac{25}{4}.
Final answer to the problem
$x=\frac{-5+\sqrt{33}}{2},\:x=\frac{-5-\sqrt{33}}{2}$
