SOLUTION: How would I change this equation into standard form? x^2 - 4y - 4x + 24y = 36 What would the steps be?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How would I change this equation into standard form? x^2 - 4y - 4x + 24y = 36 What would the steps be?      Log On


   

Question 762761: How would I change this equation into standard form?
x^2 - 4y - 4x + 24y = 36
What would the steps be?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How would I change this equation into standard form?
x^2 - 4y - 4x + 24y = 36
----
complete the square on the x-terms:
x^2 - 4x + 4 + 20y = 36 + 4
-----
(x-2)^2 = -20y+40
-----
(x-2)^2 = -20(y-2)
------
y-2 = (-1/2)(x-2)^2
----
y = (-1/2)(x-2)^2 + 2
==========================
Cheers,
Stan H.
==================