Final answer to the problem
Step-by-step Solution
How should I solve this problem?
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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 $a=\frac{1}{8}$, $b=-20$ 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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$x=\frac{20\pm \sqrt{{\left(-20\right)}^2-4\cdot 152\cdot \left(\frac{1}{8}\right)}}{2\cdot \left(\frac{1}{8}\right)}$
Learn how to solve problems step by step online. Solve the quadratic equation 1/8x^2-20x+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=\frac{1}{8}, b=-20 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 (-). Subtract the values 20 and -18.
