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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
If a is a solution of the equation above and 
, what is the value of a ?
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Explanation
The correct answer is 3. The solution to the given equation can be found by factoring the quadratic expression. The factors can be determined by finding two numbers with a sum of 1 and a product of 
. The two numbers that meet these constraints are 4 and 
. Therefore, the given equation can be rewritten as 
. It follows that the solutions to the equation are 
or 
. Since it is given that 
, a must equal 3.