Quadratics Q: The curve C has equation y = x^2 - 4ax + 3a^2

[Liquidsnake2500]

I'm having difficulties with the following question:

The curve C has equation y = x^2 - 4ax + 3a^2, where a is a positive constant.

• Factorise the expression for y, and hence sketch the curve, showing clearly its points of intersection with the coordinate axes

• Write down the solution of the inequality y = x^2 - 4ax + 3a^2 < 0

I'd be very grateful if somebody please help me on how to answer it.

Thanks in advance,
lQd

 

[pka]

You do not know how to factor?
Is that the problem?
Can you factor \(\displaystyle x^2 - 4 a x + 3 a^2 ?\)

 

[Liquidsnake2500]

yeah thats the problem

 

[pka]

\(\displaystyle \L(x - a)(x - 3a)\)

 

[Liquidsnake2500]

Thanks, could you please explain how you got it...quite confused

 

[pka]

Thanks, could you please explain how you got it...quite confused

This is an absolutely fundamental idea in mathematics beyond grade school arithmetic. You need to question what you are being asked to do!

Let me be clear. If you really do not understand my first answer, then you are in really in need of help beyond what we can possibly give here. You need to sit down with your educational authority and discuss you placement.

Now do not be offended. You simply need to be placed in the correct program.