#3**+5 **

Hi Bioschip,

I really like your logic there. And of course you are correct. 6 IS ONE of the answers !

When you have an equation like this with an x^{2} term, there are usually 2 answers.

this is how it is done.

$$x^2-2x-24=0$$

First I need to factorise this. Factors are things that multiply to get the answers

I need 2 numbers that multiply to -24 (one will need to be neg and one pos)

they also need to add to -2 (How about -6 and 4, they work)

so the question becomes

$$(x-6)(x+4)=0$$ that is what Bertie got up to!

NOW, if two things multiply together to give 0 then one of them (or both of them) must equal 0.

so either $$x-6=0$$ or $$x+4=0$$

so $$x=6$$ OR $$x=-4$$

Maybe you would like to try this one $$x^2+5x+4=0$$ ???

----------------------------------------------------------

NOW I want people to start learning to use LaTex which is how we display the maths stuff.

So here is a little lesson.

Press the LaTex button, type (x-6)(x+4)=0 then press ok.

See how it displays.

If you want to know how to display anything else, please ask. Remember, Members get priority answering.

-----------------------------------------------------------------

Melody Apr 26, 2014

#1**+5 **

if you are looking for the value of x then that is six because if you use Pedmas then 6^2 comes first and that is equal to 36 then your problem is equal to 36-2x-24=0 then you use 2*6 get 12 and your problem is equal to 36-12-24=0 so you probably no what to do on from there 36-12=24 and 24-24=0.

bioschip Apr 26, 2014

#3**+5 **

Best Answer

Hi Bioschip,

I really like your logic there. And of course you are correct. 6 IS ONE of the answers !

When you have an equation like this with an x^{2} term, there are usually 2 answers.

this is how it is done.

$$x^2-2x-24=0$$

First I need to factorise this. Factors are things that multiply to get the answers

I need 2 numbers that multiply to -24 (one will need to be neg and one pos)

they also need to add to -2 (How about -6 and 4, they work)

so the question becomes

$$(x-6)(x+4)=0$$ that is what Bertie got up to!

NOW, if two things multiply together to give 0 then one of them (or both of them) must equal 0.

so either $$x-6=0$$ or $$x+4=0$$

so $$x=6$$ OR $$x=-4$$

Maybe you would like to try this one $$x^2+5x+4=0$$ ???

----------------------------------------------------------

NOW I want people to start learning to use LaTex which is how we display the maths stuff.

So here is a little lesson.

Press the LaTex button, type (x-6)(x+4)=0 then press ok.

See how it displays.

If you want to know how to display anything else, please ask. Remember, Members get priority answering.

-----------------------------------------------------------------

Melody Apr 26, 2014