First make a note of the fact that you cannot take the square root of a negative number. Therefore, or .
Subtract 5x from both sides of the equation so that the radical term is isolated.
Square both sides of the equation:
Subtract 2x from and add 5 to both sides of the equation.
Solve using the quadratic formula.
There are no real solutions.
You can check the answer by graphing the equation:
The graph represents the right side of the original equation minus the left side of the original equation. Since there are no x-intercepts, there is no real solution to the equation.
If you would like to test yourself by working some problems similar to this example, click on Problem.
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Author: Nancy Marcus