Substitution to transform to quadratic form

Can anyone help me with this?

I sub

then flip them and rearrange so I get

then mutiply all by two to get rid of fraction.

then I factor and end up with

I think the problems begin when I sub back in the ... doing something wrong and not getting book's solutions.

btw those -1's are supposed to be superscripted, not sure why its not working :/

Re: Substitution to transform to quadratic form

if , then the correct substitution would be ...

try again ...

Re: Substitution to transform to quadratic form

"flipped" does NOT give "a+ b".

Re: Substitution to transform to quadratic form

Quote:

Originally Posted by

**skeeter** if

, then the correct substitution would be ...

try again ...

I appreciate the help :) and of course I'm going to try again. Why would I have taken the time to post it otherwise :)

Re: Substitution to transform to quadratic form

OK, so I have wrapped my head around that early error I made.

I'm getting tripped up after the factorization still though, and the book unfortunately has example subbing with negative exponents with single variable but none with a constant and a variable plus negative exponent.

So after I sub back in. I will only list one of the zeros since I think once I see what I am missing the second shouldn't be hard.

my factorization is now

which after subbing back in the first one yields me

from there I tried finding a common denominator

and adding them like so

But not sure if that was correct, or what to do next. Can someone give me a clue please?

Re: Substitution to transform to quadratic form

When is a rational expression equal to zero?

Re: Substitution to transform to quadratic form

Quote:

Originally Posted by

**MarkFL2** When is a rational expression equal to zero?

oooh..... when the numerator is zero? So x would be -4/3. Got it. Thanks :)