Final answer to the problem
$x=\frac{-1+\sqrt{21}}{2},\:x=\frac{-1-\sqrt{21}}{2}$
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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
Factor the polynomial $x+x^2$. Add and subtract $\left(\frac{b}{2}\right)^2$, where in this case $b$ equals $1$
Learn how to solve quadratic equations problems step by step online.
$x^2+x+\frac{1}{4}- \frac{1}{4}=5$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x+x^2=5. Factor the polynomial x+x^2. Add and subtract \left(\frac{b}{2}\right)^2, where in this case b equals 1. Now we can factor x^2+x+\frac{1}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Calculate the power \sqrt{\frac{1}{4}}. Multiply the fraction and term in - \frac{1}{4}.
Final answer to the problem
$x=\frac{-1+\sqrt{21}}{2},\:x=\frac{-1-\sqrt{21}}{2}$
