Find the three complex numbers zo, 2, and 2 that satisfy the equation z = 8i....

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Find the three complex numbers zo, 2₁, and 2₂ that satisfy the equation z³ = 8i. First, write the solutions in polar form such that their arguments are all in [0, 2π) and are written in increasing order. In other words, fill in the blanks below so that 0 ≤ 0o < 0₁ <0₂ < 2π. (Give exact angles in radians in terms of fractions and ; do not approximate.). 20 rue 2₁ r₁e 2₂= r2e where ro = where r₁ = where r₂ = Second, write the solutions (in the same order) in standard "a + bi" form by filling the blanks below. Give exact answers; do not approximate. %0 = %1 = Z2 = 000 and = and 0₁ = and 0₂ = +++ ÕÕÕ Select a blank to input an answer Find the three complex numbers zo, 2₁, and 2₂ that satisfy the equation z³ = 8i. First, write the solutions in polar form such that their arguments are all in [0, 2π) and are written in increasing order. In other words, fill in the blanks below so that 0 ≤ 0o < 0₁ <0₂ < 2π. (Give exact angles in radians in terms of fractions and ; do not approximate.). 20 rue 2₁ r₁e 2₂= r2e where ro = where r₁ = where r₂ = Second, write the solutions (in the same order) in standard "a + bi" form by filling the blanks below. Give exact answers; do not approximate. %0 = %1 = Z2 = 000 and = and 0₁ = and 0₂ = +++ ÕÕÕ Select a blank to input an answer

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To find the complex solutions to the equation z 8i we can start by expressing the number 8i in polar ... View the full answer