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I. Solve using DeMoivre's Theorem. 1. Find the polar form of (i – V3 ) 2. Find all the value of x so that x* = -8(i – V3) z-1 3. Given that z is not real number and |z| = 1, show that w z+1 4. Calculate all integers n such that zn = [(1+ iv3)]' is a real number 5. Find the real values of x and y such that (x + y)³ is greater than 8 6. Find the real values of the number "a" from w/c "ai" is a solution of the polynomial equation, x4 – 2x3 + 7x2 – 4x + 10 = 0, then find the roots of the equation 7. Find the 2 square roots of 3 – 8i 8. Find the 9th roots of 12 – 13i 9. Find all the solutions to the equation x = -8 + 8y3i 10. Find all fourth roots of x = -256

I. Solve using DeMoivre's Theorem. 1. Find the polar form of (i – V3 ) 2. Find all the value of x so that x* = -8(i – V3) z-1 3. Given that z is not real number and |z| = 1, show that w z+1 4. Calculate all integers n such that zn = [(1+ iv3)]' is a real number 5. Find the real values of x and y such that (x + y)³ is greater than 8 6. Find the real values of the number "a" from w/c "ai" is a solution of the polynomial equation, x4 – 2x3 + 7x2 – 4x + 10 = 0, then find the roots of the equation 7. Find the 2 square roots of 3 – 8i 8. Find the 9th roots of 12 – 13i 9. Find all the solutions to the equation x = -8 + 8y3i 10. Find all fourth roots of x = -256

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I. Solve using DeMoivre's Theorem. 1. Find the polar form of (i – V3 ) 2. Find all the value of x so that x* = -8(i – V3) z-1 3. Given that z is not real number and |z| = 1, show that w z+1 4. Calculate all integers n such that zn = [(1+ iv3)]' is a real number 5. Find the real values of x and y such that (x + y)³ is greater than 8 6. Find the real values of the number "a" from w/c "ai" is a solution of the polynomial equation, x4 – 2x3 + 7x2 – 4x + 10 = 0, then find the roots of the equation 7. Find the 2 square roots of 3 – 8i 8. Find the 9th roots of 12 – 13i 9. Find all the solutions to the equation x = -8 + 8y3i 10. Find all fourth roots of x = -256
Transcribed Image Text:I. Solve using DeMoivre's Theorem. 1. Find the polar form of (i – V3 ) 2. Find all the value of x so that x* = -8(i – V3) z-1 3. Given that z is not real number and |z| = 1, show that w z+1 4. Calculate all integers n such that zn = [(1+ iv3)]' is a real number 5. Find the real values of x and y such that (x + y)³ is greater than 8 6. Find the real values of the number "a" from w/c "ai" is a solution of the polynomial equation, x4 – 2x3 + 7x2 – 4x + 10 = 0, then find the roots of the equation 7. Find the 2 square roots of 3 – 8i 8. Find the 9th roots of 12 – 13i 9. Find all the solutions to the equation x = -8 + 8y3i 10. Find all fourth roots of x = -256
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