Final answer to the problem
Step-by-step Solution
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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
- 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 $a=6$, $b=60$ and $c=152$. 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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$x=\frac{-60\pm \sqrt{60^2-4\cdot 6\cdot 152}}{2\cdot 6}$
Learn how to solve problems step by step online. Solve the quadratic equation 6x^2+60x+152=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=6, b=60 and c=152. 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 (-). Combining all solutions, the 2 solutions of the equation are.
