EQUATIONS CONTAINING VARIABLES UNDER ONE OR MORE RADICALS
- In order to solve for x, you must isolate x.
- In order to isolate x, you must remove it from under the radical.
- If there is just one radical in the equation, isolate the radical.
- Then raise both sides of the equation to a power equal to the index
of the radical.
- With these types of equations, sometimes there are extraneous
solutions; therefore, you must check your answers.
- If the index of the radical is even, many times there will be a
restriction on the values of x.
First make a note of the fact that you cannot take the square root
of a negative number.
Square both sides of the equation.
Subtract 9 from both sides of the equation
Divide both sides of the equation by 2.
The answer is x = 8.
Check the solution by substituting 8 in the original equation for x.
If the left side of the equation equals the right side of the equation after
the substitution, you have found the correct answer.
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