(a) Find two more primitive Pythagorean triples (a, b, c) having c = a + 2.  (b) Find a primitive Pythagorean triple (a, b, c) having c =a+ 2 and c > 1000.  (c) Try to find a formula that describes all primitive Pythagorean triples (a, b, c) having  c =a+ 2.

Q: Determine the argument and the modulus of the given complex (-2-4i)(5i) number: (3+8i)

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Q: Q4: Answer (3) only : 1-1+1+²+³+{* =? (a: 41+1 b:-1 2_12+3al-4b-271, then a+b-? (a:-9 3- The…

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Q: Explain and demonstrate the multiplication of complex conjugates using 2 + 3and its complex…

A: Given : 2+3i

Q: The poly nomial Complex numbes -1ti is densted by U. Verify thatuis find The oThr Three root Of the…

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Q: x+8 x+8 +

A: Answer

Q: If a2 1,Find all complex numbers z which satisfy the equaution z +a| z +1+i=0.

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Q: Simplify: (22 – 4)5 4.x + 4) /x + 2 (x2 a) O (x + 2)7/2 ( – 2) –7/2 b) O (r + 2)-5/2 (x – 2)4 c) O…

A: We have to simplify

Q: Pleasantly, when we multiply a complex number z = a + bi by its complex conjugate z, we get a real…

A: 1+4i5-3i=1+4i5-3i*5+3i5+3i1+4i5-3i=(1+4i)(5+3i)52-(3i)21+4i5-3i=(5+3i+20i+12i2)25-9i21+4i5-3i=5+3i+2…

Q: Given that 2z-iz = 3(3-5/)where z denotes the complex conjugate of z a+ib. The value of a is and and…

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Q: 22) -2 +4i -10-6i

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Q: ply DeMorgan's Laws un - && (Ir || a))

A: Introduction: The formula for de morgan's law is given by, ~(a∧b)=~a∨~b~(a∨b)=~a∧~b

Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

Q: 1. Solve the following equations. a) (7+2/)+(4-3) b) (5-2/ (2-)(4+2) d) 2- 1+2 e) 21-3 2. Find x in…

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Q: Express -24-11j 4-5j as a complex number in the form A + Bj. Further, move the red dot in the graph…

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Q: Find the 3rd roots of the following complex number: 27cis(174∘) Do not round and type "degree" for…

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Q: 4. What is the simplification of the following complex expression (i? = -1) 5-i 3+i

A: To simplify the given complex expression:- 5-i3-i

Q: Is it true that the quotient of two complex number is obtained by dividing their moduli and…

A: Given question says "Is it true that the quotient of two complex number is obtained by dividing…

Q: If 4,,2 are two complex numbers then : ollz|-|z||>|z1-z |z,+z2ls\z]\+|z3l |

A: If z1,z2 are two complex numbers, then (a) z1+z2=z1+z2 (b) z1-z2>z1-z2 (c) z1+z2≤z1+z2 (d)…

Q: Perform the following operations on the complex numbers. a) (4– 6i) – (-8 - 9i) b) (4 – 6i)(-8 – 9i)…

A: (a) Perform the subtraction operation for the given complex numbers.…

Q: a) Find the real and the imaginary parts of the following complex numbers b) (1 - i)eix/2 c) |ex/4…

A: let,

Q: 8) Find BA -5 B = -7 -8 3 A = -6 6. 6 4. #7 #8 Is AB = BA ?

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Q: 23. Simplify the complex fraction કાકાસ x²+2x+3 '' + ; x+3 1 1 -+ x+5

A: Topic = Algebra