Questions on Algebra: Complex Numbers answered by real tutors!

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Question 1206092: given that z1=2+i and z2=-3+4i and 1/z3=1/z1+1/z2. determine the value of z3 in standard form.
Click here to see answer by Edwin McCravy(20056)

Question 1206092: given that z1=2+i and z2=-3+4i and 1/z3=1/z1+1/z2. determine the value of z3 in standard form.
Click here to see answer by math_tutor2020(3817)

Question 1206127: Prove by contradiction log2 11 is irrational. I'm a little stuck. Thank you.
Click here to see answer by ikleyn(52786)

Question 1206283: Hi, not sure how to tackle the working out for this question: I take a tablet every 10 days. If I take my first tablet on Monday and have 25 tablets, on what day will I take the last tablet. The answer my teacher gave is a Wednesday. Should I use modular arithmetic to solve, very stuck. Thank you.
Click here to see answer by ikleyn(52786)

Question 1206443: A ladder is placed 3ft away from the side of the house. The ladder comes up to 4ft on the side of the house. How long is the ladder?

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Question 1206510: If z= x+ i y ,
p(z^z,z^z) = p(2z,z+i) , find z ?
(p) Means permutation
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Question 1206590: If 3n³× (n-2)! + 6n - 3n² × (n-3)! - 360 = 0 , find value of n ?
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Question 1206594: if limit ((f (x))/(x + 2)) = 5 , ((f (x))/(2 x - 1)) = (15)/4 , then ((f (x))/(x + 1)) = .... as x \[LongRightArrow] - 1
Click here to see answer by Edwin McCravy(20056)

Question 1206594: if limit ((f (x))/(x + 2)) = 5 , ((f (x))/(2 x - 1)) = (15)/4 , then ((f (x))/(x + 1)) = .... as x \[LongRightArrow] - 1
Click here to see answer by ikleyn(52786)

Question 1206628: Given the equivalent impedance of a circuit can be calculated by the expression
𝑍=𝑍1𝑍2/𝑍1+𝑍2
If 𝑍1=5𝑗−10
and 𝑍2=6𝑗−8
, calculate the impedance 𝑍 in polar and rectangular form
Click here to see answer by Edwin McCravy(20056)

Question 1206652: if limit ((f (x))/(x + 2)) = 5 , as x \[LongRightArrow] - 2, and limit ((f (x))/(2 x - 1)) = (15)/4 , as x \[LongRightArrow] 1/2, then limit ((f (x))/(x + 1)) = ..... as x \[LongRightArrow] - 1
Click here to see answer by ikleyn(52786)

Question 1206669: An aeroplane is flying at a height of 200metre. It's angle of elevation to an observer on the ground is 23°. Calculate the distance of the aeroplane from the observer.
Click here to see answer by josgarithmetic(39617)

Question 1206726: 𝑖 = 20 sin(100𝜋𝑡 + 0.4)
what is the time in milliseconds when the current first reaches its maximum value
Click here to see answer by ikleyn(52786)

Question 1206873: If y^x = 5^y then dy/dx = ....
[(1 +lnx)y , (1- lnx)y ,
(1+1/x)y , (1- 1/x)y]
Click here to see answer by Edwin McCravy(20056)

Question 1206873: If y^x = 5^y then dy/dx = ....
[(1 +lnx)y , (1- lnx)y ,
(1+1/x)y , (1- 1/x)y]
Click here to see answer by ikleyn(52786)

Question 1206916: find by steps: int (e ^(e ^(x^2))) from 0 to 1 dx
Click here to see answer by Edwin McCravy(20056)

Question 1206915: find by steps: int (e ^(e ^(x))) from 0 to 1 dx
Click here to see answer by Shin123(626)

Question 1207019: If (a/b)=(c/d)= k , b,d ≠ 0 , prove that (a+c)/(b+d) = k
Click here to see answer by mccravyedwin(407)

Question 1207019: If (a/b)=(c/d)= k , b,d ≠ 0 , prove that (a+c)/(b+d) = k
Click here to see answer by math_tutor2020(3817)

Question 1207255: Let 𝐶: 𝑧(𝑡) = 4 + 3𝑖𝑡 , 0 ≤ 𝑡 ≤ 3. What is the length of 𝐶?
Click here to see answer by ikleyn(52786)

Question 1207264: Graph the given arc. Let 𝐶: 𝑧 = 𝑧(𝑡), 0 ≤ 𝑡 ≤ 4, defined by
𝑧 = {𝑡 − 𝑖𝑡 , 0 ≤ 𝑡 ≤ 2
𝑡 − 𝑖 , 2 < 𝑡 ≤ 4
Click here to see answer by Edwin McCravy(20056)

Question 1207322: f (x) is polynomial function, f '(x) + int f (x) dx = x ^4 + 13 x ^2 + 2. Find f (x)
Click here to see answer by Edwin McCravy(20056)

Question 1207322: f (x) is polynomial function, f '(x) + int f (x) dx = x ^4 + 13 x ^2 + 2. Find f (x)
Click here to see answer by ikleyn(52786)

Question 1207332: 0 , 1 , 1 , 3 , 10 , 103 , x, y
Find x , y
Click here to see answer by ikleyn(52786)

Question 1207332: 0 , 1 , 1 , 3 , 10 , 103 , x, y
Find x , y
Click here to see answer by greenestamps(13200)

Question 1207332: 0 , 1 , 1 , 3 , 10 , 103 , x, y
Find x , y
Click here to see answer by math_tutor2020(3817)

Question 1207459: Use z = a + bi to show that z double bars = z.

Note: z double bars means there are two bar lines above the letter z.
Click here to see answer by ikleyn(52786)

Question 1207460: Use z = a + bi and w = c + di to show that (z • w) bar = z bar • w bar.

Note: one bar line over (z • w).

Click here to see answer by ikleyn(52786)

Question 1207460: Use z = a + bi and w = c + di to show that (z • w) bar = z bar • w bar.

Note: one bar line over (z • w).

Click here to see answer by math_tutor2020(3817)

Question 1207465: if |(z)/(|conj(z)|) -conj(z) | = 1 + | z | , z \[Element] C , then (z imaginary) prove that ?
Click here to see answer by Edwin McCravy(20056)

Question 1207465: if |(z)/(|conj(z)|) -conj(z) | = 1 + | z | , z \[Element] C , then (z imaginary) prove that ?
Click here to see answer by ikleyn(52786)

Question 1207470: prove that ,if |(z)/(|conj(z)|) -conj(z) | = 1 + | z | , z \[Element] C , then (z imaginary)?
Click here to see answer by ikleyn(52786)

Question 1207477: Given that 2 + 3i is a solution of a quadratic equation with real coefficients.Find the other solution.

I need the steps.
Click here to see answer by josgarithmetic(39617)

Question 1207477: Given that 2 + 3i is a solution of a quadratic equation with real coefficients.Find the other solution.

I need the steps.
Click here to see answer by ikleyn(52786)

Question 1207477: Given that 2 + 3i is a solution of a quadratic equation with real coefficients.Find the other solution.

I need the steps.
Click here to see answer by math_tutor2020(3817)

Question 1207475: 4 - i is a solution of a quadratic equation with real coefficients.Find the other solution.

How is this one done?
Click here to see answer by josgarithmetic(39617)

Question 1207475: 4 - i is a solution of a quadratic equation with real coefficients.Find the other solution.

How is this one done?
Click here to see answer by ikleyn(52786)

Question 1207475: 4 - i is a solution of a quadratic equation with real coefficients.Find the other solution.

How is this one done?
Click here to see answer by math_tutor2020(3817)

Question 1207476: If z = 3 - 4i and w = 8 + 3i,write each expression in the standard form a+bi.

A. w - w bar

B. (z - w) bar
Click here to see answer by ikleyn(52786)

Question 1207476: If z = 3 - 4i and w = 8 + 3i,write each expression in the standard form a+bi.

A. w - w bar

B. (z - w) bar
Click here to see answer by math_tutor2020(3817)

Question 1207478: Solve: 2^x + x = 5 , x is real
Click here to see answer by ikleyn(52786)

Question 1207479: If z1 , z2 are two complex numbers , |z1|=|z2| , and Arg(z1 + z2) = pi/4 ,find Arg(z1×z2)
Click here to see answer by ikleyn(52786)

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