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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
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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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1expand first: (2 – 5i)(p + q)i =

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay @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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(25i)(2+5i)i 4  10i + 10i  25i^2 4  10i + 10i  25(1) 4  0i  (25) 4 + 25 29

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@SolomonZelman just check my problem on A so I know I am not giving @dreamstoogood wrong info.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1u need it to equal 29i, not 29

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0o.o What did I do wrong?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1(2 – 5i)(p + q)i=29i (in a+bi form, it is 0+29i) (2 – 5i)(p + q)i = expands to >> 2p+2q5pi5qi so, 2p+2q5pi5qi=29i in a+bi form, (2p+2q)+(5p5q)i=0+29i therefore 2p+2q=0 (5p5q)i=29i

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1so there is a system of equations to solve

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1you can cancel i' in equation 2, and from that point and on it is just algebra.
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