Final answer to the problem
$x=-\frac{7}{5}+\sqrt{2}i,\:x=-\frac{7}{5}-\sqrt{2}i$
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Step-by-step Solution
How should I solve this problem?
- Solve by completing the square
- 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...
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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
$5\left(x^2+\frac{14}{5}x+\frac{28}{5}\right)=0$
Learn how to solve integral calculus problems step by step online.
$5\left(x^2+\frac{14}{5}x+\frac{28}{5}\right)=0$
Learn how to solve integral calculus problems step by step online. Solve the quadratic equation 5x^2+14x+28=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+\frac{14}{5}x+\frac{49}{25}. Divide both sides of the equation by 5.
Final answer to the problem
$x=-\frac{7}{5}+\sqrt{2}i,\:x=-\frac{7}{5}-\sqrt{2}i$
