** Final answer to the problem

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** Step-by-step Solution **

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- 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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To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=3$, $b=7$ and $c=-15$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Learn how to solve integral calculus problems step by step online.

$x=\frac{-7\pm \sqrt{7^2-4\cdot 3\cdot -15}}{2\cdot 3}$

Learn how to solve integral calculus problems step by step online. Solve the quadratic equation 3x^2+7x+-15=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=3, b=7 and c=-15. 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 15.132746 and -7.

** Final answer to the problem

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