If (2 +3i)^2 + (2 - 3i)^2 = a + bia =b=

Mathematics

1 answer:

Shalnov [3]1 year ago

7 0

(2 + 3i)^2 = 4 + 12i + 9(-1)

= 4 + 12i - 9

= -5 + 12i

(2 - 3i)^2 = 4 - 12i - 9(-1)

= 4 - 12i + 9

= 13 - 12i

REsult

= -5 + 12i + 13 - 12i

= 8 - 0i

Then

a = 8 and b = 0

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Refer to the graph shown below. It confirms that points A, B and P are
collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
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Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
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Calculate ratio a/b.
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Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer: 2:1 ratio.