To isolate: The radical in the equation .
The radical in the equation can be isolated as .
Consider the given equation .
The term involving the radical sign is on the left-hand side of the equation.
Therefore, subtract from both sides of the above equation to isolate the radical.
Thus, the radical in the equation can be isolated as .
To square: Both sides of the equation .
Both sides of the equation can be squared as .
Consider the equation from part (a).
To solve this equation, the radical sign has to be eliminated.
Therefore, square both sides of the above equation.
Thus, both sides of the equation can be squared as .
The solutions of the equation .
The solutions of the equation are .
The solution of a quadratic equation of the form can be obtained by using the quadratic formula .
The equation from part (b) can be rewritten as .
Compare this equation with the general form .
Substitute 1 for a, for b and for c in the quadratic formula to find the solution.
Thus, the solutions of the equation are .
The solutions of the equation that satisfy the original equation .
The solution of the equation that satisfy the original equation is .
From part (c) the solutions of the equation are .
To check whether these solutions satisfy the original equation, substitute these values in the equation .
Substitute 0 for x in .
Substitute 2 for x in .
The value does not satisfy the original equation. Therefore, it is not a solution of the equation .
Thus, the solution of the equation that satisfy the original equation is .
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