Quadratic equation homework problem

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Homework Help Overview

The discussion revolves around solving the quadratic equation y^2 - 2y = x^3 + 2x^2 + 2x + 3, focusing on isolating y and exploring methods for solving it.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss methods for solving the equation for y, including completing the square and using the quadratic formula. Questions arise about expressing the quadratic in a different form and the implications of the equation's structure.

Discussion Status

Some participants have offered guidance on different approaches, such as completing the square and the quadratic formula. There is an acknowledgment of various methods being explored, but no consensus has been reached on a single approach.

Contextual Notes

Participants mention challenges in manipulating the equation and express uncertainty about the steps involved in completing the square and applying the quadratic formula.

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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 [itex]y^2-2y[/itex] in the form [itex]a(y+h)^2+k[/itex]?
 
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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