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- 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
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To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=36$, $b=105$ and $c=-50$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
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$x=\frac{-105\pm \sqrt{105^2-4\cdot 36\cdot -50}}{2\cdot 36}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 36x^2+105x+-50=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=36, b=105 and c=-50. 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 (-). Subtract the values 135 and -105.