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# Alg. 2

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A. Explain in your own words the value of “i” and the value of i². (short answers please)

B. Copy the problem carefully and show all the steps needed to arrive at the final simplified answer. You must show all your work.

C. Write your final, simplified expression in standard complex number form for Jamal.

Oct 6, 2018

#1
+4781
+1

$$i \text{ is the value such that }i^2 = -1 \\ \text{you'll often see it written that }i=\sqrt{-1} \\ \text{but this is a bit of abuse of notation}$$

$$(7-3i)(5i+4)-(3-i) = \\ 35i+28-15i^2-12i - (3-i) = \\ 28+15+(35-12)i - (3-i) = \\ 43+23i -3 + i = \\ 40+24i$$

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Oct 6, 2018

#1
+4781
+1
$$i \text{ is the value such that }i^2 = -1 \\ \text{you'll often see it written that }i=\sqrt{-1} \\ \text{but this is a bit of abuse of notation}$$
$$(7-3i)(5i+4)-(3-i) = \\ 35i+28-15i^2-12i - (3-i) = \\ 28+15+(35-12)i - (3-i) = \\ 43+23i -3 + i = \\ 40+24i$$