Solve the radical equation graphically
Solve the equation graphically.
When solving an equation graphically it is necessary to have all variables on one side. Therefore, we'll first rearrange the equation. The expression on the left-hand side can now be seen as the function, We'll graph the function.
Next, we can identify the points that have the -coordinate then find the corresponding -coordinates.
Radical equations can be solved algebraically using inverse operations. Specifically, to undo the radical, both sides of the equation can be raised to the same power as the index of the radical. For example,Because some radicals can only take certain -values, this process can produce extraneous solutions, or solutions that do not actually satisfy the equation. Therefore, each solution must be verified in the original equation.
Consider the following equation as an example.
Solve the radical equation
The Lorenz factor, is used for calculations within the Theory of Relativity. It is defined as Find when