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Quadratic simultaneous equations

Hi there :smile:.


Screen Shot 2016-04-16 at 13.42.56.png

I have been learning how to solve quadratic simultaneous equations via the above method.

It looks similar to the substitution method when I have been doing simultaneous equations.

Is there another way to solve the above example? Like using the elimination method?

I tried using that here but it didn't look like it worked for something that has a quadratic in.

Thanks
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Avatar for Notnek
Notnek
21
Original post by marcus888
Hi there :smile:.


Screen Shot 2016-04-16 at 13.42.56.png

I have been learning how to solve quadratic simultaneous equations via the above method.

It looks similar to the substitution method when I have been doing simultaneous equations.

Is there another way to solve the above example? Like using the elimination method?

I tried using that here but it didn't look like it worked for something that has a quadratic in.

Thanks

Often elimination won't work for non-linear simulatenous equations like this but it will here.

If you subtract (1) from (2) you get:

x2−2x=6−3x^2 - 2x = 6 - 3

Then rearrange and solve the quadratic.


It's a good idea to assume substitution is the way to go for harder simultaneous equations like this.
(edited 8 years ago)
Reply 2
Avatar for marcus888
marcus888
OP
9
Thanks

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