Saiyan
  • Saiyan
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Vocaloid
  • Vocaloid
multiply the numerator and denominator by the conjugate of the denominator
Saiyan
  • Saiyan
What is the conjugate?
Vocaloid
  • Vocaloid
look at the denominator -5+i change the sign in the middle

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Saiyan
  • Saiyan
So is would be -5-i
Vocaloid
  • Vocaloid
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
Vocaloid
  • Vocaloid
hint: use the foil method on the numerator and denominator
Saiyan
  • Saiyan
i got i^2+30+i/i^2+25
Vocaloid
  • Vocaloid
almost, check your denonimator again
Saiyan
  • Saiyan
ok i checked it and it gave me the same thing for the denominator -i^2+25
Vocaloid
  • Vocaloid
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?
Saiyan
  • Saiyan
So i would replace -1 with all the i^2
Vocaloid
  • Vocaloid
yes, whenever you see "i^2" you can replace it with -1
Saiyan
  • Saiyan
29+i/24
Vocaloid
  • Vocaloid
almost but not quite check your denominator again
Vocaloid
  • Vocaloid
-i^2+25 = ?
Saiyan
  • Saiyan
did i mess up with the double negative in the denominator
Vocaloid
  • Vocaloid
yes
Vocaloid
  • Vocaloid
-i^2+25 = -(-1) + 25 = ?
Saiyan
  • Saiyan
ok it would be B. 29+i/26
Vocaloid
  • Vocaloid
yeah! good job
Saiyan
  • Saiyan
Thankyou for helping me
Vocaloid
  • Vocaloid
@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 > >
Saiyan
  • Saiyan
ok thx

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