# 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 .
Raise to the power of .
Raise to the power of .
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 three hundred twenty-three million nine hundred eighty-nine thousand nine hundred thirty-nine

### Interesting facts

• 323989939 has 4 divisors, whose sum is 327550360
• The reverse of 323989939 is 939989323
• Previous prime number is 91

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 55
• Digital Root 1

### Name

Name one billion eight hundred fifty-two million eight hundred thirteen thousand eight hundred twenty-seven

### Interesting facts

• 1852813827 has 8 divisors, whose sum is 2074398480
• The reverse of 1852813827 is 7283182581
• Previous prime number is 131

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 45
• Digital Root 9

### Name

Name seventy million ninety-three thousand nine hundred fifty-four

### Interesting facts

• 70093954 has 8 divisors, whose sum is 120161088
• The reverse of 70093954 is 45939007
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 37
• Digital Root 1