Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the roots
- 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 break even points
- Load more...
Find the roots of the polynomial $\frac{x^2+x-2}{x^2+5x+6}$ by putting it in the form of an equation and then set it equal to zero
Factor the trinomial $x^2+5x+6$ finding two numbers that multiply to form $6$ and added form $5$
Thus
Factor the trinomial $x^2+x-2$ finding two numbers that multiply to form $-2$ and added form $1$
Thus
Simplifying
Multiply both sides of the equation by $x+3$
Any expression multiplied by $0$ is equal to $0$
We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-1$ from both sides of the equation
Canceling terms on both sides
Verify that the solutions obtained are valid in the initial equation
The valid solutions to the equation are the ones that, when replaced in the original equation, don't make any denominator equal to $0$, since division by zero is not allowed