Final answer to the problem
$x=\frac{-5+\sqrt{145}}{2},\:x=\frac{-5-\sqrt{145}}{2}$
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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
Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side
$x^2+5x=5+25$
Learn how to solve quadratic formula problems step by step online. Solve the quadratic equation x^2+5x+-25=5. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Add the values 5 and 25. Rewrite the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=5 and c=-30. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.
Final answer to the problem
$x=\frac{-5+\sqrt{145}}{2},\:x=\frac{-5-\sqrt{145}}{2}$
