Well, I was going to answer a question, and then I needed an answer, lol. ?

Question

"Whenever we say square-root in language, we mean both positive and negative square-roots and in that context y above will not be a function of x. But √(4x - 3) is always considered as a positive square-root and will be a function of x."

this is what a "top communicator" said as an answer for:

(

y= square root (4x-3)

a. y is a function of x ( I thnk this is the answer)

b. y is NOT a function of x

)

and my question is..Why. Why is that equation always considered to be positive?

and why when I mean "square root" it means positive and negative square roots, (while even negative square roots don`t exist)?

Answer 1

Only because a calculator shows root 16 as 4, So is that correct? Its silly! calculator is made to answer that. And a calculator is a compromise. It shows 1/3 = 0.33333333... Do you accept it?

Ask some real Mathematician. I may not be good at communicating what I want to say.

Answer 2

???

Answer 3

To solve x^2 = 4, you take square root and you'll get x = +/-2.

But when we talk about sqrt(4), we mean 2 and not -2.

It's just the convention we follow.

Answer 4

You have already said negative square roots don't exist...that is the answer!Because square root (4x-3) is not a negative square root...It can only be a positive square root.

Answer 5

Yeah! because when you use your scientific calculator. the negative square root will not exist.

It is in the rule of square root that whenever it is a negative it must be a positive when you use it.

Answer 6

Equations should always be considered positive because a negative equation doesn't have a square root.

Negative square roots exist.

e.g. √9

       = (+3)(+3) = 9

       = (-3)(-3) = 9