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algebra2sucks

  • 2 years ago

What is the quotient in simplest form? State any restrictions on the variable. x+2/ x-1 divided by x + 4/x^2 + 4x - 5

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  1. Azteck
    • 2 years ago
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    \[\frac{ x+2}{ x-1 }\div \frac{ x+4 }{ x^2+4x-5 }=\frac{ x+2 }{ x-1 }\div \frac{ x+4 }{ (x+5)(x-1) }\] \[=\frac{ x+2 }{ x-1 }\times \frac{(x+5)(x-1) }{x+4 }\] Simplify it now.

  2. algebra2sucks
    • 2 years ago
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    (x+2)(x+5)/x+4 ?

  3. algebra2sucks
    • 2 years ago
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    what are the restrictions?

  4. algebra2sucks
    • 2 years ago
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    you there @Azteck

  5. Azteck
    • 2 years ago
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    What can't x equal to?

  6. Azteck
    • 2 years ago
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    What number do you prevent x to be so that the denominator of the fraction does not become undefined?

  7. Azteck
    • 2 years ago
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    \[\dfrac{(x+2)(x+5)}{x+4}\] What can't x be???

  8. Azteck
    • 2 years ago
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    @algebra2sucks

  9. algebra2sucks
    • 2 years ago
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    1,-4,-5?

  10. Azteck
    • 2 years ago
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    Dude, if x=1, will there be a value coming out from that fraction there?

  11. Azteck
    • 2 years ago
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    I'm not so sure, but I reckon they're asking you for restrictions after you simplify the quotient.

  12. Azteck
    • 2 years ago
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    Because questions don't ask for you to do something in the beginning at the end of the question. They rather put the question and command you to do stuff in chronological order...

  13. algebra2sucks
    • 2 years ago
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    Ooooh ok so its just -5, and -4??

  14. algebra2sucks
    • 2 years ago
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    Is that right @Azteck

  15. Azteck
    • 2 years ago
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    Why -5?

  16. Azteck
    • 2 years ago
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    Put -5 into that fraction. What do you get? Do you undefined? If you don't get undefined, then -5 ain't restricting noone.

  17. algebra2sucks
    • 2 years ago
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    Well these are the answers I have A. (x+2)(x+5)/x+4; x = -5, -4 B. (x+2)(x+4)/(x+4)^2(x+5); x = 1, -5 C. (x+2)(x+4)/(x+4)^2(x+5); x = 1, -5,-4 D. (x+2)(x+5)/x+4; x = 1, -4, -5

  18. Azteck
    • 2 years ago
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    Then you have to find the restrictions in the quotient. So you were correct before. D is the answer. These questions are dodgy, if they didn't give you multiple choice. Next time write the WHOLE QUESTION down before you post...

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