SOLUTION: I think this is quadratic equation...Please help. Thank you Y^2-4y+4=36 What is the exact solution What is the approximate solution

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Question 176363: I think this is quadratic equation...Please help. Thank you
Y^2-4y+4=36
What is the exact solution
What is the approximate solution

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Subtract 36 from both sides.


Combine like terms.


Notice we have a quadratic equation in the form of where , , and


Let's use the quadratic formula to solve for y


Start with the quadratic formula


Plug in , , and


Negate to get .


Square to get .


Multiply to get


Rewrite as


Add to to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Combine like terms.


or Simplify.


So the answers are or

Note: the exact solutions and the approximate solutions are the same (since no approximation is not needed).

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