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

Q: What is x if it is a positive real number and x squared is equals to 5?

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Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.

This term is used when the result of a certain operation isn't defined. For example, you can't divide one by zero (or any other number by zero), because that would mean that zero times some number equals one; but this is never the case. Or, when calculating with real numbers, you can't take the square root of a negative number, because the square of either a positive or a negative number gives a positive number; no real number, when squared, gives a negative result.

all real numbers

Multiplying any complex number by its conjugate will result in a positive real number. For any complex number x + yi, {x and y are real numbers} its conjugate is x - yi, and the multiplication equals x2 + y2

Of course it is. 'a' can be any positive or negative number, and 'b' is its square.That's no problem.What is difficult is for 'b' to be a negative number in the same equation.No real number for 'a' can produce a negative 'b'.

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

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.

Yes, Any real number squared is a real number. In this case that number is 25.

The two rational solutions are (0,0,0) and (1,1,1). There are no other real solutions.

Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.

Yes, it is a real number.

Yes. '7 squared' means 7 x 7, which equals 49.

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.

The number is close to 7.74596669... The real one is irrational, so I can't write it exactly, no matter how many digits I use. But the number I wrote is within 0.000000031 percent of the actual real one.

This term is used when the result of a certain operation isn't defined. For example, you can't divide one by zero (or any other number by zero), because that would mean that zero times some number equals one; but this is never the case. Or, when calculating with real numbers, you can't take the square root of a negative number, because the square of either a positive or a negative number gives a positive number; no real number, when squared, gives a negative result.

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