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Nonlinear equations in one variable and systems of equations in two variables SAT question
Math · Advanced Math · Medium · Answer it here, explanation included.
If a is a solution of the equation above and 
, what is the value of a ?
Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.
ExplanationShow
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.
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