Question

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Answer 1

Answer:

=> A=P(1+R/100)^N

16500=P(1+5/100)²

16500=P(1+1/20)²

16500=P(20/20+1/20)²

16500=P(21/20)²

16500=P×21/20×21/20

16500÷21/20=21/20×P

15714.28=21/20P

15714.28÷21/20=P

14965.98=P

Answer 2

$\mathrm{Subsititute\:}x=a+bi$

$\left(a+bi\right)^2-\left(3\sqrt{2}+2i\right)\left(a+bi\right)+6\sqrt{2}i=0$

$\mathrm{Expand\:}\left(a+bi\right)^2-\left(3\sqrt{2}+2i\right)\left(a+bi\right)+6\sqrt{2}i$

$=\left(a+ib\right)^2-\left(3\sqrt{2}a-2b+3\sqrt{2}ib+2ia\right)+6\sqrt{2}i$

$\left(3\sqrt{2}+2i\right)\left(a+bi\right)=3\sqrt{2}a-2b+3\sqrt{2}ib+2ia$

$\left(a+bi\right)^2:\quad a^2+2iab-b^2$

$-\left(3\sqrt{2}a-2b+3\sqrt{2}ib+2ia\right):\quad -3\sqrt{2}a+2b-3\sqrt{2}ib-2ia$

$\mathrm{Substitute\:back}\:x=a+bi$

$x=3\sqrt{2},\:x=2i$