If x+iy 1/3 a+ib then x/a+y/b
WebQ. 3) If ( x + iy )1/3= 2 + 3i , then 3x + 2y is equal to a) -20 b) -60 c) -120 d) 60 Sol : x +iy=(2+3i)3 = -46+9i 3x+2y=-138+18 =-120 Vikasana - CET 2012 Q 4) The value ofQ.4) The value of ∑∞nisis n=0 a) 9+6i9 + 6ib) 9 –6ic)9+6id)9) 9 + 6i d) 9 –6i 13 3 Sol = 1 1-2i 3 = 9 +6iVikasana -CET 2012 13 WebGiven, z = x − i y and z 3 1 = a + ib z 1/3 = a + ib Take cube on both sides, we get (z 1/3) 3 = (a + ib) 3 ⇒ z = a 3 + (ib) 3 + 3 a 2 ib + 3 a (ib) 2 ⇒ z = a 3 + i 3 b 3 + 3 a 2 ib + 3 a b …
If x+iy 1/3 a+ib then x/a+y/b
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Web19 mei 2024 · 1. The two square roots of − 1 are indistinguishable, so any result that uses i will also be true with − i substituted for i throughout. Technically, conjugation is an … Web22 jul. 2024 · answered If x +iy = (a+ib)^3 then show that x/a + y/b=4 (a^2 - b^2) Advertisement Loved by our community 75 people found it helpful bijitkalita48 Step-by …
Webnone of these. ( x + i y) 1 3 = a + i b. Cubing on both the sides, we get Cubing on both the sides, we get : x + i y = ( a + i b) 3. ⇒ x + i y = a 3 + ( i b) 3 + 3 a 2 b i + 3 a ( i b) 2. ⇒ x … Web25 jan. 2024 · Ans: We can find the roots of complex numbers easily with the following methods. 1. The first step is to let’s assume that the roots of the complex number are \ (a …
Web4 22 4 Si 4 35 4 W 4 W 4 49 4 54 403 a. m. 1000. p. lu. 123oC 2 01 S30" 4 OS. 210 240 4 14 529 541 545 5 50 5 55 » 10 (i IH 628 6 33 S3SI 1152 7 Ol 200 235 1 0» 1 39 2 13 2 … WebIf x + iy = a + ib then x = a and y = b where a, b, x and y are real numbers. CALCULATION: Given: 4x + i (3x -y) = 3 + i (- 6) As we know that, if x + iy = a + ib then x = a and y = b where a, b, x and y are real numbers. ⇒ 4x = 3 ⇒ x = 3/4 ⇒ 3x - y = - 6 So, substitute x = 3/4 in the above equation we get, ⇒ 9/4 - y = - 6 ⇒ y = (9/4) + 6 = 33/4
Web12 mrt. 2024 · ( x + iy)^1/3 = (a + ib) So cubing both the sides ( x + iy) = (a+ib)³ ( x + iy) = a³ + i³b³ + 3a²ib + 3ai²b² Then You can separate the real and imaginary parts x = a³ - 3ab² y = b³ + 3a²b Put the values x/a + y/b = 4a² - 4b² = 4 (a² - b²) Hope it the the correct answer friend.☺ Hope it is helpful Advertisement Still have questions?
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