- #1

chwala

Gold Member

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- Homework Statement
- See attached

- Relevant Equations
- understanding of equations

I was going through this...

The steps are quite clear; although i do not know whether it is a general approach to let ##y=mx## in such kind of problems when the degree are the same...second degree, third degree and so on.

My approach to this problem was straightforward;

##y=\dfrac{8-2x^2}{3x}##

thus on substitution to first equation, we shall have,

...

##9x^4+96x^2-24x^4+64-32x^2+4x^4-117x^2=0##

##-11x^4-53x^2+64=0##

Let

##m=x^2##

then it follows that,

##11m^2+53m-64=0##

##m=1, ⇒ x=±1##

The values of ##y## would be found by substituting ##x=±1## into ##y=\dfrac{8-2x^2}{3x}##

cheers.

My interest is on the highlighted part.

The steps are quite clear; although i do not know whether it is a general approach to let ##y=mx## in such kind of problems when the degree are the same...second degree, third degree and so on.

My approach to this problem was straightforward;

##y=\dfrac{8-2x^2}{3x}##

thus on substitution to first equation, we shall have,

...

##9x^4+96x^2-24x^4+64-32x^2+4x^4-117x^2=0##

##-11x^4-53x^2+64=0##

Let

##m=x^2##

then it follows that,

##11m^2+53m-64=0##

##m=1, ⇒ x=±1##

The values of ##y## would be found by substituting ##x=±1## into ##y=\dfrac{8-2x^2}{3x}##

cheers.

My interest is on the highlighted part.

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