Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 872983: Write the complex number in form a+bi
radical 6(cos315+isin315)
Click here to see answer by Alan3354(69443)

Question 873207: Quotient Rule in Calculus. Find the ff:
1. f(x) = 1-√x/2+√x
Click here to see answer by Fombitz(32388)

Question 874739: How do i solve the following problem?
2-i)^3
Click here to see answer by rothauserc(4718)

Question 874934: 4)one fourth of a heard of camels was seen in the forest.twice the square root of the number of heard had gone to mountain and remaining 15 camels were seen on the bank of a river.find the number of camels. (ans=36)
Click here to see answer by ankor@dixie-net.com(22740)

Question 875141: hi good day how do i find the critical numbers of y=3x^3-12x^2-7 to perform the derivative test and please show me how to factor it cause i have no ideal how to do it
Click here to see answer by nerdybill(7384)

Question 875477: Please help me simplify this complex fraction.
a/b-b/a / 1+a/b
Click here to see answer by Theo(13342)

Question 875477: Please help me simplify this complex fraction.
a/b-b/a / 1+a/b
Click here to see answer by rothauserc(4718)

Question 875458: 1. (-2-2)(-4-3i)(7+8i)
2. 5i+7i*i
3. (6i)^3
4. 6i*-4i+8
5. -6(4-6i)
6. (8-3i)^2
7. 3+7i-3i-4
8. -3i*6i-3(-7+6i)
9. -6i(8-6i)(-8-8i)
Simplify:
1. (2+x)(3-2x)
2. (2+i)(3-2i)
3. 2+x-(3-2x)
4. 2+i-(3-2i)

Click here to see answer by harpazo(655)

Question 875795: An ancient measuring unit is the CUBIT. This was the distance between the tip of your finger and your elbow. Which of the following is the most likely answer for the length of a 20 metre cricket pitch in cubits?
Question options:

20

45

100

150 I did this but it is wrong

Click here to see answer by josgarithmetic(39613)

Question 875796: : A farmer wants to know how many fish there are in his dam. He took out 200 fish and tagged each of them, with a coloured sign. He put the tagged fish back in the dam and let them get mixed with the others. On the second day, he took out 250 fish in a random manner, and found that 25 of them were tagged. Estimate how many fish are in the dam.
Question options:

450

800

2000

2175 I did this but it is wrong

4500

Click here to see answer by josgarithmetic(39613)

Question 875805: Question: A small object was weighed on the same scales separately by nine students in a science class. The weights (in grams) recorded by each student are shown below.

6.3 6.0 6.0 15.3 6.1 6.3 6.2 6.15 6.3

The value 15.3 is replaced by the value 6.25 after re-measurement. The weights are shown below.

6.3 6.0 6.0 6.25 6.1 6.3 6.2 6.15 6.3

What is the median of this data set?
Question options:

6.15

6.2

6.25 I did this but it is wrong

6.3

Click here to see answer by Fombitz(32388)

Question 875952: Write the expression equivalent to (6 � 5i)2 + (3 + i)2
Click here to see answer by Fombitz(32388)

Question 876195: If
Prove:

Click here to see answer by josgarithmetic(39613)

Question 876327: simplify (2x-3)^2-(4x+1)(x-4)
Click here to see answer by ewatrrr(24785)

Question 876531: I cannot solve (-3-(sqrt-7))^2? I have seen example questions similar in the math books provided at school, but theres an unexplained two that appear in the distributing the exponent step, and that throws me off more than the anything, help?
Click here to see answer by josgarithmetic(39613)

Question 876816: Find the area enclosed between the curve y = x(x - 1)2 and the axis y = 0,
establishing first where they intersect.
Click here to see answer by Fombitz(32388)

Question 876816: Find the area enclosed between the curve y = x(x - 1)2 and the axis y = 0,
establishing first where they intersect.
Click here to see answer by richard1234(7193)

Question 877094: How would I write the following expressions as complex numbers in standard form?
-i(4 - 8i)
(5 - 7i)(-4 - 3i)
6i/3 - i
-2 - 5i/3i
Click here to see answer by harpazo(655)

Question 877281: Cuales son las soluciones de la ecuaci�n:z3+27=0 explique (un breve comentario)
Click here to see answer by rothauserc(4718)

Question 877269: write the expression as a complex number in standard form?
(6 - 3i) + (5 + 4i)

Click here to see answer by Alan3354(69443)

Question 877996: Find values for x and y that make true.
Click here to see answer by Fombitz(32388)

Question 878006: What is the impedance of a circuit whose current is (-6-2i) amps and whose electromotive force is (-50 +100i) volts?
Click here to see answer by Fombitz(32388)

Question 878186: Solve the following system of equations.
4x+9y= 10 x=
5x+8y=19 y=
Click here to see answer by josgarithmetic(39613)

Question 878186: Solve the following system of equations.
4x+9y= 10 x=
5x+8y=19 y=
Click here to see answer by MathTherapy(10549)

Question 878244: I am getting stuck please show steps
Evaluate the intergral
x cos 15x dx
Click here to see answer by Fombitz(32388)

Question 878207: 4w+3>-2 and 2w-2>-6
Write the solution in interval notation.
If there is no solution, enter no solution
Click here to see answer by Fombitz(32388)

Question 878302: Find the power and express in rectangular form.

Click here to see answer by Fombitz(32388)

Question 878433: I am getting stuck please show the steps
Find all roots of the equation z^5 = i, i.e. find the five values of
i^1/5 and show them on an Argand diagram

Click here to see answer by Alan3354(69443)

Question 878622: Express in polar form:
-4i
Click here to see answer by Fombitz(32388)

Question 878764: to prove- under root(-3-4i) +underroor(3+4I)=+-(3-i)

Click here to see answer by Alan3354(69443)

Question 880289: for what real values of x and y are the numbers -3+i^2 y and x^2+y+4i are conjugate complex
Click here to see answer by Edwin McCravy(20054)

Question 880482: Z=5-3i
Click here to see answer by jim_thompson5910(35256)

Question 880649: Can I please have help on this question? My math final is coming up.
(3+2i)(5-8i)

Click here to see answer by jim_thompson5910(35256)

Question 880746: the product of √5/8+1/8i and it's conjugate is?
Click here to see answer by jim_thompson5910(35256)

Question 881032: If you multiply one million, two hundred thousand, one hundred seventy six, by five hundred twenty thousand, two hundred four, and then divide the product by one billion, your result will be closest to:
(A)0.6 (B)6 (C)600 (D)6000 (E)6,000,000

Click here to see answer by JulietG(1812)

Question 881194: Write (-5 + 8i) + (-5 − 8i) as a complex number in standard form.
Click here to see answer by jim_thompson5910(35256)

Question 881204: Write -2i + (9 − 3i) − (6 − 10i) as a complex number in standard form.
Click here to see answer by jim_thompson5910(35256)

Question 881222: Write (3 + 4i) + (8 + 2i) as a complex number in standard form.

Click here to see answer by jim_thompson5910(35256)

Question 881209: Write (26 + 16i) - (26 - 7i) as a complex number in standard form.
Click here to see answer by jim_thompson5910(35256)

Question 881300: (x+iy)2=5+4i)
find value of x and y
Click here to see answer by josgarithmetic(39613)

Question 881181: determine whether the following complex number is real or imaginary and write it in the standard form a+bi
pi/12
Click here to see answer by Fombitz(32388)

Question 881490: compute the value of the discriminant and give the number of real solutions of the quadratic equation 2x^2-5x+5=0
Discriminate
Number of real soultions
Click here to see answer by rfer(16322)

Question 881498: g(x)=3x^2+12x+9
does this function have a minimum or maximum value
what is the function minimum or maximum value
where does the minimum or maximum value occur
x=
Click here to see answer by josgarithmetic(39613)

Question 881719: Factor out the greatest common factor. Then simplify the factors if possible.
(7z-3)(z+4)-(7z-3)(z-3)
Click here to see answer by Fombitz(32388)

Question 882013: Rewrite the numerator and denominator in polar or exponential form before carrying out the division.
(sqrt(3)-i)/(2i+2)
I know how to approach this problem but I just can't seem to get the same answer as in the textbook. This is my working:
(sqrt(3)-i) >>> Modulus = 2, Arg = -arctan(1/sqrt(3))= - pi/6
(sqrt(3)-i)= 2(cos(-pi/6) + sin(-pi/6)i)
(2i+2) >>> Modulus = 2sqrt(2), Arg = arctan(1) = pi/4
(2i+2) = 2sqrt(2)(cos(pi/4) + sin(pi/4)i)

(sqrt(3)-i)/(2i+2) = 2/(2sqrt(2))*e^(-pi/6 - pi/4) = 1/sqrt(2) * e^(-5pi/12)

The textbook answer is sqrt(2) * e^(-5pi/12). Who is correct? Thank you.

Click here to see answer by pj66(7)

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