How will you explain this:?

Question

y2 - x = 1
y2 = 1 + x
y = positive and negative square root of 1 + x

Answer 1

it means that y can b either the square root of 1+x with a +ve sign or that with a -ve sign.
u can understand it this way.. if y^2=4, y can be both +2 as well as -2. in both cases y^2 will b 4.

Answer 2

Take sqrt4 as an example.
sqrt4 is both 2 and -2 because 2^2 and (-2)^2 is both 4.
The same goes for y^2 = 1 + x. When you square root both sides, the value of y is both the positive and negative square root of 1+ x.

Answer 3

y² - x = 1
y² - x + x = 1 + x
y² = 1 + x
y x y = 1 + x
y = ±√(1 + x)
Check
√(1 + x) X √(1 + x) = 1 + x
[-√(1 + x)] X [- √(1 + x)] = 1 + x

Answer 4

The answer of confused is absolutely correct