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Find the roots of the equation for
Solution:
Consider the given equation above
Square both sides of the equation to remove the radical sign at the right side of the equation, we have
Equate each factor to zero in order to solve for the roots.
If
If
Next, we need to check and find out if the roots are real or extraneous by substituting the values of x to the given equation as follows:
If
Since both sides of the equation are equal, then x = -1 is a root of the equation.
If
Since both sides of the equation are also equal, then x = -2 is also a root of the equation.
Therefore, the roots of the equation are -1 and -2.