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anonymous

  • one year ago

Which values of p and q would make the value of the following expression equal to 29i? (2 – 5i)(p + q)i A.p = 2, q = 5i B.p = –2, q = 5i C.p = 2, q = –5i D.p = –2, q = –5i

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  1. SolomonZelman
    • one year ago
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    expand first: (2 – 5i)(p + q)i =

  2. anonymous
    • one year ago
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    Okay @SolomonZelman could probably explain exactly how to do this because he is smart like that but I was able to pass the SAT by plugging these things in so lets start with A.

  3. anonymous
    • one year ago
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    (2-5i)(2+5i)i 4 - 10i + 10i - 25i^2 4 - 10i + 10i - 25(-1) 4 - 0i - (-25) 4 + 25 29

  4. anonymous
    • one year ago
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    @SolomonZelman just check my problem on A so I know I am not giving @dreamstoogood wrong info.

  5. SolomonZelman
    • one year ago
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    u need it to equal 29i, not 29

  6. anonymous
    • one year ago
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    o.o What did I do wrong?

  7. SolomonZelman
    • one year ago
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    (2 – 5i)(p + q)i=29i (in a+bi form, it is 0+29i) (2 – 5i)(p + q)i = expands to >> 2p+2q-5pi-5qi so, 2p+2q-5pi-5qi=29i in a+bi form, (2p+2q)+(-5p-5q)i=0+29i therefore 2p+2q=0 (-5p-5q)i=29i

  8. SolomonZelman
    • one year ago
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    so there is a system of equations to solve

  9. SolomonZelman
    • one year ago
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    you can cancel i' in equation 2, and from that point and on it is just algebra.

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