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Mathematics 14 Online
OpenStudy (anonymous):

x^+3x-10=0

OpenStudy (anonymous):

You need to get that in the form (x+a)(x+b). a and b need to multiply together to get -10 and add together to get 3. What 2 numbers do that?

OpenStudy (anonymous):

One of them is negative and one is positive. The positive one needs to be bigger to give +3x.

OpenStudy (anonymous):

Think about the factors of -10. You can have, 1 and -10 2 and -5 -1 and 10 -2 and 5. Which of those add together to make 3.

OpenStudy (anonymous):

I have -2 and +5 to factorise but dont equate unless I invert their values

OpenStudy (anonymous):

so you have (x-2)(x+5)=0?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

If you expand that you get x^2 + 3x - 10 = 0 so that is the right equation.

OpenStudy (anonymous):

After that you need to find what x is.

OpenStudy (anonymous):

Yes - but when I substitute -2 tpo do a checksum it looks wrong

OpenStudy (anonymous):

Yes, that's because x doesn't = -2.

OpenStudy (anonymous):

so , -2*-2+3*-2-10=0? no I get -12

OpenStudy (anonymous):

Oh? - This may help me?

OpenStudy (anonymous):

In the equation (x-2)(x+5) = 0, one of the two fractions must be 0. So either x-2=0 or x+5=0. Therefore x=2 or 5

OpenStudy (anonymous):

*-5 sorry.

OpenStudy (anonymous):

That's why the inverses of -2 and 5 work.

OpenStudy (anonymous):

Ah! I see simplifying it x must = -5 or 2. You are an absolute diamond!!!

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