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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
What is the positive solution to the given equation?
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Explanation
The correct answer is . The left-hand side of the given equation can be factored as . Therefore, the given equation, , can be written as . Applying the zero product property to this equation yields and . Subtracting from both sides of the equation yields . Dividing both sides of this equation by yields . Adding to both sides of the equation yields . Therefore, the two solutions to the given equation, , are and . It follows that is the positive solution to the given equation.