Quadratic Equation

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If , which of the following could be the value of ?

Review: Quadratic Equation


Explanation

In this question, 625 is 25 squared. That is worth knowing, but if you didn't know that, you can see that the answer choices are all integers, so the square root of 625 is an integer. You could then see that the square is between 400 and 900, so the integer must be between 20 and 30, and it ends in 5, so the only possibility is 25. Having settled that, there are two cases: either we are dealing with a positive number or a negative number.

Case I: ; ;

Case II: ; ;

The correct answer is (C).


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