suppose x is greater than or equal to 0 and y are real numbers. Then y squared=x if and only if y= the square root of x or y= - square root of x.
explain why this makes sense to you
Both (-x) and (x) transform to (x)^2 when squared, that's why.
thats a algebra question to me but ok. Well the reason behind that is that two number can make y^2=x true and that is having a square root of x being positive or negative. Math gets soooo much easier if you plug in numbers (correctly).
Does this help?
if y ²= x is true, then:
âx = ±y (because when you take the square root of both sides, the answer could be either positive or negative)
So essentially you have âx = ±y
which could be written as two separate equations
âx = y and...
âx = -y (which is the same thing as -âx = y, if you multiply each side by -1)
y = sqrt(x) or y = -sqrt(x), where x>0 i.e posite number
So (y)^2 = x where y is a real positive number
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Both (-x) and (x) transform to (x)^2 when squared, that's why.
thats a algebra question to me but ok. Well the reason behind that is that two number can make y^2=x true and that is having a square root of x being positive or negative. Math gets soooo much easier if you plug in numbers (correctly).
Does this help?
if y ²= x is true, then:
âx = ±y (because when you take the square root of both sides, the answer could be either positive or negative)
So essentially you have âx = ±y
which could be written as two separate equations
âx = y and...
âx = -y (which is the same thing as -âx = y, if you multiply each side by -1)
y = sqrt(x) or y = -sqrt(x), where x>0 i.e posite number
So (y)^2 = x where y is a real positive number