√​(8-y)-y-2

Question

Solve the equation.  √(8-y)-y-2

Answer 1

You gave an expression, NOT an equation.  Every equation contains an equal sign.

 

If you mean:  √(8-y) - y = -2, then √(8-y) = y - 2

 

So, 8 - y = y² - 4y + 4

 

      y² - 3y - 4 = 0

 

      (y - 4)(y + 1) = 0

 

                      y = 4 or -1

 

Checking these values in the ORIGINAL equation, we see that 4 works, but -1 doesn't.

 

So, the only solution is 4. 

 

Answer 2

Look carefully, Julia, at what you have given us.  There is no = sign here, so it's not an equation.