4. Rational Expressions
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Raise both sides of the equation to a power equal to the index of the radicals.
x=2
We will find and check the solutions of the given equation.
To solve equations with variable expressions inside the radicals, we can raise both sides of the equation to a power equal to the index of the radicals. Let's try to solve our equation using this method!
LHS^2=RHS^2
( sqrt(a) )^2 = a
Therefore, the solution is x=2. Let's check it to see if we have an extraneous solution.
Let's substitute x=2 into the original equation.
x= 2
We obtained a true statement, so x=2 is a solution.