What are the lengths of the major and minor axes of 16r + 49y - 32x + 294y – 327 = 0?

Q: Let z be the solution to z2 16 with - Im(z) > 0, and let w be the solution to w? 64 with Im(w) > 0.…

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Q: Suppose the complex numbers x and y satisfy the following equations: xy - y² xy + 2x² = = 3 1 (A) 8…

A: Answer is D. 16

Q: A motorboat is set to head north-east from the mainland to the near island, lying approximately 15…

A: Let  w→=wind velocityt→=tide velocityd→=displacementr→=resultant vectorm→=motorboat velocity vector…

Q: (1 + i) 201.

A: Now…

Q: Find the cube root of Z^3=8i lying in the first quadrant of the complex plan

A: Find the cube root of Z^3=8i lying in the first quadrant of the complex plane.  To find the cubic…

Q: Find all complex roots of the equation z6+z5+z4+z3+z2+z+1=0.

A: The given equation is z6+z5+z4+z3+z2+z+1=0    .....(1) We know that  z7-1=(z-1)(z6+z5+z4+z3+z2+z+1)…

Q: Plot the complex number z4 = (√3/2+1/2i)^20 in the Argand diagram.

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Q: Find one of the roots of 2x3 +3x2 – 23x – 12

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Q: plot complex logs on the complex plane

A: We have to explain how can we plot complex logs on the complex plane. Then plot the given complex…

Q: Find the value of y in the complex equation (2x-3yi(3 + 4i) 78-21i O5 -3 03 -4

A: Given, (2x-3yi)(3+4i)=78-21i Expanding the LHS⇒ (2x-3yi)(3+4i)=6x+8xi-9yi-12yi2…

Q: 2. Find all complex solutions: x2 +x+ 2 = 0

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Q: Find all solutions of the equation x²-4x+5=0 and give your answer as a list of complex numbers, such…

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Q: Show that the solution of the equation  4x2 + 24x + 37 = 0 are complex conjugates of each other.

A: Given quadratic equation: 4x2+24x+37=0