When we say "find all values that satisfy the equation," we are referring to finding all possible solutions or values of a given equation. This means that we are looking for all the possible values of the variable(s) that make the equation true.
Finding all values that satisfy an equation involves manipulating the equation and solving for the variable(s). This may involve using algebraic techniques such as factoring, substitution, or the quadratic formula. It is important to carefully follow the rules of algebra and double-check your work to ensure that all possible solutions are found.
While the specific steps may vary depending on the equation and the techniques used, there are some general guidelines to follow when finding all values that satisfy an equation. These include simplifying the equation, isolating the variable, and checking for extraneous solutions. It is also important to carefully follow the order of operations and to check your answer by plugging it back into the original equation.
In some cases, it may not be possible to find all values that satisfy an equation. This may be due to the complexity of the equation or the lack of techniques available to solve it. In these cases, it is important to clearly state the limitations of the solution and to provide the values that were able to be found.
Yes, a graphing calculator can be a helpful tool when trying to find all values that satisfy an equation. By graphing the equation, you can visually see the points where the equation intersects the x-axis, which represent the solutions. However, it is still important to carefully check your answers and to show your work when solving equations, even with the use of a calculator.