Final answer to the problem
$x=\frac{5+\sqrt{385}}{20},\:x=\frac{5-\sqrt{385}}{20}$
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Step-by-step Solution
How should I solve this problem?
- Prime Factor Decomposition
- 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
Rewrite the equation
$10x^2-5x-9=0$
Learn how to solve quadratic equations problems step by step online.
$10x^2-5x-9=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 10x^2-5x=9. 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=10, b=-5 and c=-9. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-).
Final answer to the problem
$x=\frac{5+\sqrt{385}}{20},\:x=\frac{5-\sqrt{385}}{20}$
