Implicit to Explicit

**KennyP33** · February 3rd 2010, 06:04 PM

I got an answer to a question on my homework but it's in implicit form and it wants it in explicit form.. here's the answer

$y^2 - 2y = x^3 + 4x^2 + 3x$

So, I need to know how to turn this into a simple "y = " explicit format, i'm pretty sure a square root will be involved.

Thanks in advance!

**Chris L T521** · February 3rd 2010, 07:01 PM

Originally Posted by KennyP33

I got an answer to a question on my homework but it's in implicit form and it wants it in explicit form.. here's the answer

$y^2 - 2y = x^3 + 4x^2 + 3x$

So, I need to know how to turn this into a simple "y = " explicit format, i'm pretty sure a square root will be involved.

Thanks in advance!

Complete the square on the LHS to get $(y-1)^2=x^3+4x^2+3x+1$

Now take square roots to get $y-1=\sqrt{x^3+4x^2+3x+1}\implies y=\sqrt{x^3+4x^2+3x+1}+1$

Does this make sense?

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