Quadratic equation homework problem

AI Thread Summary
The discussion focuses on solving the quadratic equation y^2 - 2y = x^3 + 2x^2 + 2x + 3 for y. The initial confusion revolves around expressing the equation in a solvable form, with suggestions to complete the square or use the quadratic formula. One participant realizes that completing the square is the key to finding y. The conversation highlights the importance of recognizing the quadratic nature of the equation and applying appropriate algebraic techniques. Ultimately, the solution can be derived through either method, providing clarity on the problem.
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Homework Statement



y^2 - 2y = x^3 + 2x^2 + 2x + 3

Homework Equations





The Attempt at a Solution



Solve for y
How do you solve for y? my book says since that equation is quadratic in y, it can be solved as y = 1 +- sqrt(x^3 + 2x^2 + 2x + 4) but I have no idea how to do that...

all I can do is y(y-2) ...
 
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Can you express y^2-2y in the form a(y+h)^2+k?
 
Thanks for your reply
y^2 - 2y - K = 0
-k, -2y
K = x^3 + ...
Unfortunately, i seem unable to do so
 
Oh wait, I forgot about completing the square, I got it thanks
 
You can also use the quadratic formula, might be easier.
 

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