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stealth61 [152]
3 years ago
10

I need help with number 3 who can help me

Mathematics
1 answer:
scoray [572]3 years ago
5 0
What kind a book is that and what grade bc it seems fimilar
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In honors math increased by 12% in this year students-
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Find the square roots of 119 + 120i algebraically.
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Answer:

Step-by-step explanation:

Given

z=119+120 i

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Squaring both sides

119+120 i=p^2-q^2+2ipq

Comparing real and imaginary part

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119=p^2-q^2-----------1

comparing Im(LHS)=Im(RHS)

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Substitute q in 1

119=p^2-(\frac{60}{p})^2

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x=\frac{119\pm 180.71}{2}

we take only Positive value because p^2=x

x=149.85

p^2=149.85

thus p=\pm 12.24

q=\mp 4.90

thus \sqrt{119+120 i}=\pm (12.24+i 4.90)

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What is the simplest form of 48/15
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