Modded SAT Question Bank
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Test
Math
Domain
Advanced Math
Skill
Nonlinear equations in one variable and systems of equations in two variables
Difficulty
Medium
ID: 87a3de81
Modded SAT Question Bank by Abdullah Mallik

x squared plus x, minus 12, equals 0

If a is a solution of the equation above and a is greater than 0, what is the value of a ?

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Correct Answer:
Rationale

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 negative 12. The two numbers that meet these constraints are 4 and negative 3. Therefore, the given equation can be rewritten as open parenthesis, x plus 4, close parenthesis, times, open parenthesis, x minus 3, close parenthesis, equals 0. It follows that the solutions to the equation are x equals negative 4 or x equals 3. Since it is given that a, is greater than 0, a must equal 3.

Question Difficulty: Medium
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