Questions on Algebra: Complex Numbers answered by real tutors!

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Question 591554: can you help me solve this problem
Click here to see answer by mananth(16946)

Question 592247: A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

Click here to see answer by Alan3354(69443)

Question 592426: 2+3i/1+4i
Click here to see answer by stanbon(75887)

Question 592844: ^-30 is
Click here to see answer by Alan3354(69443)

Question 593028: I need help!!
Find a polynomial with real coefficients that has zeros: 1, 4 + i, 4 � i
Click here to see answer by solver91311(24713)

Question 593317: The polynomial p(z)=2z�+az�+bz-5 where a and b are real has 2-i as one of its roots. find the value of the constants a and b. If you could show me how to solve this, thatd be great, cheers.
Click here to see answer by scott8148(6628)

Question 593382: 2+3i/2i
Click here to see answer by solver91311(24713)

Question 593447: How does (8-3i)+(2+3i)= 53?
Click here to see answer by richwmiller(17219)

Question 593661: My question is really hard and not enrolled in a standard curriculum.
Given a triangle on a complex plane which contains three vertizes , and . Find a number which is equal to incenter (a centre of inscribed circle) of triangle.
Well, I won't describe long computations but I was succesful to find the formula of the center of circumscribed circle, it is here: http://www.part.lt/img/56a97dbe7b0b5039eda438ab99b5f6cb97.jpg
Is there a source with similar expression of incenter?
Click here to see answer by richard1234(7193)

Question 594267:
I need to find both imaginary and real numbers. I dont get it!

Click here to see answer by John10(297)

Question 594697: CAN I PLEASE GET THE SOLUTION TO THE FOLLOWING PROBLEMS..
1. 2-1/x-10/x^2=0

Click here to see answer by richwmiller(17219)

Question 595213: For i =square root −1, if 3i(2 + 5i) = x + 6i,then x = ?
A. �15
B. 5
C. 5i
D. 15i
E. 27i
Click here to see answer by jim_thompson5910(35256)

Question 595437: Can you explain how to do this problem?
(sqrt(6)-i)(sqrt(6)+8i)
Click here to see answer by math-vortex(648)

Question 595756: Write the expression as a complex number in standard form.
(-3-8i)+(-5-7i)
ANSWER CHOICES:
A. 2+15i
B. 2-15i
C. -8+15i
D. -8-15i

Click here to see answer by Alan3354(69443)

Question 595796: how do you solve (3-i) squared?
Click here to see answer by stanbon(75887)

Question 595757: Write the expression as a complex number in standard form.
(8+7i)/(3-4i)
ANSWER CHOICES:
A. (4/25) + (53/25)i
B. (52/7) - (11/7)i
C. (52/7) + (53/7)i
D. (4/25) - (11/25)i
Click here to see answer by Yemi(10)

Question 595655: What does the "/" mean in the equation? 5/3-4i or 3-i/2+i I need to find teh quitient and write the answer in the form of a + bi.
Thanks
Click here to see answer by Yemi(10)

Question 596056: Ed and Allice walked to the dock at 5 miles per hour, jumped into the boat and motored to Destin at 15 miles per hour. If the total distance was 20 miles and the trip took 2 hours in all, how far did they go by boat? Begin by drawing a diagram of distances travelled and writing the distance equation.
Click here to see answer by stanbon(75887)

Question 596404: find the complex zeros of the polynomial function write f in the factored form. x^3+216
so far I have done:
x^3 + 6^3
(a+b)(a^2-ab+b^2) = (x+6)(x^2-6x+36)
quadratic formula: -b plus or minus square root (b^2 - 4 * a * c)/2
6 +- square root (36 - 144)/2
I am confused on the simplified answer not the math in general so would I leave
6 +- square root 108 in that form divided by 2 or what?
Click here to see answer by Alan3354(69443)

Question 596411: find the complex zeros of the polynomial function write f in the factored form. x^3+216
so far I have done:

x^3 + 6^3

(a+b)(a^2-ab+b^2) = (x+6)(x^2-6x+36)

quadratic formula: -b plus or minus square root (b^2 - 4 * a * c)/2

6 +- square root (36 - 144)/2

I am confused on the simplified answer not the math in general so would I leave
6 +- square root 108 in that form divided by 2 or what?

Click here to see answer by dfrazzetto(283)

Question 597161: ‎1/3 + x1/3
Can you please show me how it's solved?
Click here to see answer by richwmiller(17219)

Question 599005: how can i solved this problem?
1. find the value of x and y in:
x+(y-6)i=5+9i
2. find the two square roots of -i
can you send me as soon as possible the answer?
with the solution..
please..thank you!
Click here to see answer by Alan3354(69443)

Question 599052: What is the complex number 45 in standard form?/ (using imaginary number i)
Click here to see answer by stanbon(75887)

Question 599273: need help with this problem i^-10
Click here to see answer by Alan3354(69443)

Question 599389: multiply. write result in the form a+bi
(6+5i)^2
Click here to see answer by jim_thompson5910(35256)

Question 599387: divide
7+4i
---------
9-5i
Click here to see answer by jim_thompson5910(35256)

Question 599411: add or subtract
(4+√-7)+(4-√-63)
Click here to see answer by flame8855(424)

Question 599450: Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
Click here to see answer by dhartman0220(8)

Question 600443: convert Z=(1+i)^2 to its trigonometric and exponential form.
Click here to see answer by lynnlo(4176)

Question 600802: i'm a qualified tutor. how do i apply for a job ?
Click here to see answer by Edwin McCravy(20056)

Question 600802: i'm a qualified tutor. how do i apply for a job ?
Click here to see answer by solver91311(24713)

Question 600829: How much would $500 invested at 8% interest compounded annually be worth after 4 years? Round your answer to the nearest cent. Do not include units in your answer. A(t)=P(1+r/n)(r*t)
Click here to see answer by stanbon(75887)

Question 601338: 7m over 4 + m - 6 over 12
Click here to see answer by flame8855(424)

Question 601535: Simply each expression. Write your final answer in a+bi form. Rewrite the expression so that it is an addition problem.
(3-8i)-(6+2i)
I tried doing (3-8i)-(-6+2i) I don't know if it is right and just needed some help on how to rewrite it.
Thanks!
Click here to see answer by Alan3354(69443)

Question 601634: Sqrt ( 76p^2q^2/81)
Click here to see answer by nerdybill(7384)

Question 601655: how do I factor 10x^2-7xy-5y^2 ?
Click here to see answer by Edwin McCravy(20056)

Question 602075: which expression represents (-3-2i)-(-5+i)
Click here to see answer by jim_thompson5910(35256)

Question 602680: 1/10-3/10i
Click here to see answer by Alan3354(69443)

Question 602887: What is the expression equal to?
-29 + (-i) ^2
------------------
-2
A.-14
B. 14i
C. 14
D. 15
-29 + (-i) ^2
------------------
-2
-29 + (-1)
---------------
(2) (-2)
-30
-------
(-4)
??????????
Help please?????

Click here to see answer by flame8855(424)

Question 602896: 8-8i
Opposite of it?
-8 +8i ?
Click here to see answer by ankor@dixie-net.com(22740)

Question 603157: i need to simplify complex numbers. the problem is (6+3sq.rt.-1)(6-sq.rt.-1) we have the answers but we need to show our work and i have no idea how to get there. the answer is 39+12sq.rt.-1
Click here to see answer by mananth(16946)

Question 603669: Simplify 3ix4i
Click here to see answer by Alan3354(69443)

Question 606412: If z=1+4i, What is abs(z)
(z)(abs z)=absolute z squared=a^2+b^2
Notice that z=a+ib
Click here to see answer by richard1234(7193)

Question 606641: how do you simplify i to the 67 power
Click here to see answer by nerdybill(7384)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380