Question #87a3de81 - SAT Suite Question Bank

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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:

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