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Saiyan

  • one year ago

Algebra 2 Complex Numbers Help if you can Simplify the expression? -6+i/-5+i A. 31+i/26 B. 29+i/26 C.31+i/24 D.31+11i/26

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  1. Vocaloid
    • one year ago
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    multiply the numerator and denominator by the conjugate of the denominator

  2. Saiyan
    • one year ago
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    What is the conjugate?

  3. Vocaloid
    • one year ago
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    look at the denominator -5+i change the sign in the middle

  4. Saiyan
    • one year ago
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    So is would be -5-i

  5. Vocaloid
    • one year ago
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    right, the conjugate of -5+i is -5-i now, go back to the original expression (-6+i)/(-5+i) multiplying the numerator and denominator by (-5-i) gives us [(-5-i)(-6+i)] / [(-5+i)(-5-i)] simplify

  6. Vocaloid
    • one year ago
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    hint: use the foil method on the numerator and denominator

  7. Saiyan
    • one year ago
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    i got i^2+30+i/i^2+25

  8. Vocaloid
    • one year ago
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    almost, check your denonimator again

  9. Saiyan
    • one year ago
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    ok i checked it and it gave me the same thing for the denominator -i^2+25

  10. Vocaloid
    • one year ago
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    right, there was a negative sign in front of i^2 that you missed before so we have (i^2+30+i)/(-i^2+25) we can rewrite this if we recognize that i^2 = -1 can you try substituting -1 for i^2 into your expression now?

  11. Saiyan
    • one year ago
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    So i would replace -1 with all the i^2

  12. Vocaloid
    • one year ago
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    yes, whenever you see "i^2" you can replace it with -1

  13. Saiyan
    • one year ago
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    29+i/24

  14. Vocaloid
    • one year ago
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    almost but not quite check your denominator again

  15. Vocaloid
    • one year ago
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    -i^2+25 = ?

  16. Saiyan
    • one year ago
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    did i mess up with the double negative in the denominator

  17. Vocaloid
    • one year ago
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    yes

  18. Vocaloid
    • one year ago
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    -i^2+25 = -(-1) + 25 = ?

  19. Saiyan
    • one year ago
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    ok it would be B. 29+i/26

  20. Vocaloid
    • one year ago
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    yeah! good job

  21. Saiyan
    • one year ago
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    Thankyou for helping me

  22. Vocaloid
    • one year ago
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    @Saiyan uh, small correction, I made a mistake with the numerator the numerator should be 30+i-i^2, giving is (31+i)/(26), sorry > >

  23. Saiyan
    • one year ago
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    ok thx

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