Concept explainers
(a)
To isolate: The radical in the equation
(a)
Answer to Problem 4E
The radical in the equation
Explanation of Solution
Consider the given equation
The term involving the radical sign is on the left-hand side of the equation.
Therefore, subtract
Thus, the radical in the equation
(b)
To square: Both sides of the equation
(b)
Answer to Problem 4E
Both sides of the equation
Explanation of Solution
Consider the equation
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
(c)
The solutions of the equation
(c)
Answer to Problem 4E
The solutions of the equation
Explanation of Solution
Formula used:
Quadratic formula:
The solution of a
Calculation:
The equation
Compare this equation with the general form
Here
Substitute 1 for a,
Thus, the solutions of the equation
(d)
The solutions of the equation
(d)
Answer to Problem 4E
The solution of the equation
Explanation of Solution
From part (c) the solutions of the equation
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
Thus, the solution of the equation
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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