# Complex numbers - math problems

#### Number of problems found: 28

• Evaluate 18 Evaluate the expression (-4-7i)-(-6-9i) and write the result in the form a+bi (Real + i* Imaginary).
• Cis notation Evaluate multiplication of two complex numbers in cis notation: (6 cis 120°)(4 cis 30°) Write result in cis and Re-Im notation.
• An Argand diagram Find the sum z1+z2 and difference z1-z2 and z2-z1 of z1=5+2i and z2=2+3i by an Argand diagram.
• Let 4 Let z = 6 + 5i and w = 3 - i. Compute the following and express your answer in a + bi form. w + 3z
• Conjugate equation Find the numbers of a and b, if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i)
• Eq2 equations For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x2-12x+5 h(x)=x2-4x+20 f(x)=4x2-24x+45 p(x)=9x2-36x+40
• Subtracting complex in polar Given w =√2(cosine (p/4) + i sine (pi/4) ) and z = 2 (cosine (pi/2) + i sine (pi/2) ), what is w - z expressed in polar form?
• Distance two imaginary numbs Find the distance between two complex number: z1=(-8+i) and z2=(-1+i).
• Modulus and argument Find the mod z and argument z if z=i
• Linear combination of complex If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2
• Two grandmothers Two grandmothers went to sell eggs at the market, and they had a total of 100. When they sold all the eggs, they made the same money. The first grandmother says to the second: "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmot
• Mappings of complex numbers Find the images of the following points under mappings: z=3-2j w=2zj+j-1
• Let z1=x1+y1i Let z1=x1+y1i and z2=x2+y2i Find: a = Im (z1z2) b = Re (z1/z2)
• The modulus Find the modulus of the complex number 2 + 5i
• Turtles 2 A box turtle hibernates in the sand at 11 5/8. A spotted turtle hibernates at 11 16/25 feet. Which turtle is deeper? Write answer as number 1 or 2.
• Complex number coordinates Which coordinates show the location of -2+3i
• 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.
• Linear imaginary equation Given that 2(z+i)=i(z+i) "this is z star" Find the value of the complex number z. 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.
• Is complex Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?

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