# Complex numbers - math word problems

#### Number of problems found: 15

- The modulus

Find the modulus of the complex number 2 + 5i - Let z1=x1+y1i

Let z1=x1+y1i and z2=x2+y2i Find: a = Im (z1z2) b = Re (z1/z2) - Complex number coordinates

Which coordinates show the location of -2+3i - De Moivre's formula

There are two distinct complex numbers z such that z^{3}is equal to 1 and z is not equal 1. Calculate the sum of these two numbers. - Linear imaginary equation

Given that ? "this is z star" Find the value of the complex number z. - Im>0?

Is -10i a positive number? - Goniometric form

Determine goniometric form of a complex number ?. - Moivre 2

Find the cube roots of 125(cos 288° + i sin 288°). - Log

Calculate value of expression log |3 +7i +5i^{2}| . - Is complex

Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex? - Bearing

A plane flew 50 km on a bearing 63°20' and the flew on a bearing 153°20' for 140km. Find the distance between the starting point and the ending point. - Reciprocal

Calculate reciprocal of z=0.8-1.8i: - Stadium

A domed stadium is in the shape of spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the height of the dome at its centre to the nearest tenth of a meter. - Imaginary numbers

Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum? - ABS CN

Calculate the absolute value of complex number -15-29i.

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