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If x squared = 5 then x = sqrt(5) = 2.2361 (approx).

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Q: What is x if it is a positive real number and x squared is equals to 5?
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Can the area of a square be negative?

not in the real world. The area of a square = The length of a side, squared. Any number squared is positive.

When you square a negative number is it positive or negative?

The square of a real number is always positive no matter which real number you start with. Therefore, a negative number squared is positive. For example: 2 * 2 = 4, -2 * -2 = 4.

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What does X equals in this problem X squared plus 4 equals 0?

If we start with x2 + 4 = 0, the next conclusion is that x2 = -4. All real numbers have a positive result when multiplied by themselves, so therefore we are dealing with an imaginary number. The square root of minus four is 2i.

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x2 = -25 There exists no real number for which this is true, so we must use imaginary numbers... x = 5i