2 years ago

ASAP HELP PLEASE I WILL GIVEE 100 just help me please and ASAP

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

6 0

Answer:

Step-by-step explanation:

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Use the method in the Example to find the square roots of 1 + √3i

kiruha [24]

Answer:

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

Step-by-step explanation:

Given

z = 1 + √3 i

Let $\sqrt{1+\sqrt(3) i}=p+iq$

Squaring both sides

$1+\sqrt(3) i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$1=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

$q=\frac{\sqrt{3}}{2p}$

Substitute q in equation (1)

$1=p^2-(\frac{\sqrt{3}}{2p})^2$

$p^4-p^2-0.75=0$

Let $x=p^2$

$x^2-x-0.75=0$

$x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}$

$x=\frac{1\pm 4}{2}$

we take only Positive value because $p^2=x$

x=2.5

$p^2=2.5$

thus $p=\pm 1.58$

$q=\pm 0.548$

thus,

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

5 0

3 years ago

X-2y=-26 x-y=-2 solution of systems equation

svp [43]

If we subtract the 2 equations we eliminate x:-

x - x - 2y - (-y) = -26--2
-y = -24
y = 24
Plug this into the first equation:-
x - 2(24) = -26
x = -26 + 48 = 22

Answer is x = 22 and y = 24

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3 years ago

Susan is making sandwiches for a picnic. She needs 1.2 pounds of ham, 1.5 pounds of bologna, and 2 pounds of cheese. How much wi

NNADVOKAT [17]

Answer:

need points

Step-by-step explanation:

need points

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2 years ago

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I know the answer but I need an explanation of how it is the answer plss.

Mashcka [7]

Answer: I got the answer by adding and subtracting

Step-by-step explanation:

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Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $7 teddy bears as par

ozzi

Answer:

154 is less than or equal to 5x+7y

Step-by-step explanation:

x = number of gift cards and y= number of teddy bears

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2 years ago