Find All Complex Number Solutions z=3-4i

Find All Complex Number Solutions z=3-4i
This is the trigonometric form of a complex number where is the modulus and is the angle created on the complex plane.
The modulus of a complex number is the distance from the origin on the complex plane.
where
Substitute the actual values of and .
Find .
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Raise to the power of .
Raise to the power of .
Add and .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
Since inverse tangent of produces an angle in the fourth quadrant, the value of the angle is .
Substitute the values of and .
Replace the right side of the equation with the trigonometric form.
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Name

Name six hundred ninety million eight hundred sixty thousand two

Interesting facts

  • 690860002 has 16 divisors, whose sum is 1184702400
  • The reverse of 690860002 is 200068096
  • Previous prime number is 4507

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 31
  • Digital Root 4

Name

Name one billion one hundred fifty-four million two hundred sixty-eight thousand six hundred forty-two

Interesting facts

  • 1154268642 has 32 divisors, whose sum is 2323455552
  • The reverse of 1154268642 is 2468624511
  • Previous prime number is 1627

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3

Name

Name one billion seven hundred thirty-five million four hundred seventy-two thousand nine

Interesting facts

  • 1735472009 has 4 divisors, whose sum is 1737948420
  • The reverse of 1735472009 is 9002745371
  • Previous prime number is 701

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2