- #1
reddawg
- 46
- 0
Homework Statement
0 = sin(x) - cos(2x)
Original problem asks to find the critical numbers of f(x) = 2cos(x) + sin(2x) . . . above is its derivative simplified and what I need to solve.
reddawg said:Homework Statement
0 = sin(x) - cos(2x)
Original problem asks to find the critical numbers of f(x) = 2cos(x) + sin(2x) . . . above is its derivative simplified and what I need to solve.
An equation is a mathematical statement that shows the relationship between two quantities. It contains an equal sign (=) and can be solved to find the value of a variable.
To solve an equation for x, you need to isolate the variable on one side of the equal sign. You can do this by using inverse operations, such as addition, subtraction, multiplication, and division, to cancel out any other terms or numbers on that side of the equation. When you have x by itself on one side, the value of x is the solution to the equation.
The order of operations for solving an equation for x is the same as the general order of operations in math, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). You need to perform operations in this order to correctly isolate the variable and solve the equation.
Yes, an equation can have more than one solution for x. For example, the equation x² = 16 has two solutions, x = 4 and x = -4. These are called "solutions" or "roots" of the equation. However, some equations may have no solution or an infinite number of solutions.
You can check if your solution for x is correct by substituting it back into the original equation and seeing if it makes the equation true. If it does, then your solution is correct. If it does not, then you may have made a mistake in your calculations or the equation may not have a solution for the given variable.