HELP PLEASE AND ORGANIZE YOUR SOLUTION AS MUCH AS POSSIBLE PLEASE TYPE YOUR ANSWER THANK UUUU ^^ 14. A square root of a complex number w = c + di is defined to be a complex number z = a + bi thatsatisfies the polynomial equation z2 = c + di. Find the two square roots of i.

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Answered: 14. A square root of a complex number w…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section: Chapter Questions

Problem 36RE

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Recall from the introduction to Section 8.2 that Jerome Cardans solutions to the equation x3=15x+4 could be written as x=2+11i3+211i3 Lets assume that the two cube roots are complex conjugates. If they are, then we can simplify our work by noticing that x=2+11i3+211i3=a+bi+abi=2a which means that we simply double the real part of each cube root of 2+11i to find the solutions to x3=15x+4. Now, to end our work with Cardan, find the three cube roots of 2+11i. Then, noting the discussion above, use the three cube roots to solve the equation x3=15x+4. Write your answers accurate to the nearest thousandth.
Determine the number and nature of the roots of the equation in Exercise 67. Calculate the discriminant associated with the equation 6x2+5x+1=0.
67. Calculate the discriminant associated with the equation 6x2+5x+1=0.

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14. A square root of a complex number w = c + di is defined to be a complex number z = a + bi that satisfies the polynomial equation z2 = c + di. Find the two square roots of i.