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## anonymous one year ago Please help me =*(

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1. anonymous

$\frac{ 5x ^{2}+65x+60 }{ x ^{2}+10x-24 }=\frac{ 5x+5 }{ x-2 }$ then which of the following are possible values of x? -60 -12 -1 1 2 5

2. anonymous

what do u think

3. anonymous

i have x+1=x+1

4. mathmath333

the given equation satisfies all real values except $$x=2,-12$$ as we have in denominators $$(x-12)(x-2)$$ which would make equation undefined

5. anonymous

wait what?

6. anonymous

i thought it worked out for all of them

7. mathmath333

it satisfies all values except $$x=2$$ and $$x=-12$$

8. anonymous

can u explain why?

9. mathmath333

because in the denominator u have $$x^2+10x-24=(x+12)(x-2)$$ if u put $$x=2$$ or $$x=-12$$ the denominator will become zero and any number divide by zero is undefined.

10. anonymous

ohhhh ic

11. anonymous

is there an easier way to check the answer?

12. ybarrap

yes there is Set the denominator equal to zero and solve $$x^2+10x-24=(x+12)(x-2)=0$$ This helps you find values that x should NOT be Just be careful. Before you do this, just make sure that none of these terms is cancelled by the numerator.

13. ybarrap

You never want the denominator equal to zero.

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