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x^2 + x -12 =0 If a is a solution of ...

`x^2 + x -12 =0`
If a is a solution of the equation above and a gt 0, what is the value of a ?

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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 −12. The two numbers that meet these constraints are 4 and –3. Therefore, the given equation can be rewritten as (x + 4)(x − 3) = 0. It follows that the solutions to the equation are x = −4 or x = 3. Since it is given that a gt 0, a must equal 3.
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