Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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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Factor the trinomial by $-1$ for an easier handling
Factor the trinomial $-\left(x^2-7x+10\right)$ finding two numbers that multiply to form $10$ and added form $-7$
Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values
Factor the trinomial $\left(x^2-7x+10\right)$ finding two numbers that multiply to form $10$ and added form $-7$
Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values
Multiply both sides of the equation by $-1$
Break the equation in $2$ factors and set each factor equal to zero, to obtain simpler equations
Solve the equation ($1$)
We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-2$ from both sides of the equation
Canceling terms on both sides
Solve the equation ($2$)
We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-5$ from both sides of the equation
Canceling terms on both sides
Combining all solutions, the $2$ solutions of the equation are
