Mathophile

Given that z is a complex number, solve the equation
z⁴+4z²+16=0

Find the number of ways of arranging N people in a straight line, if two particular people must always be separated

Find the positive difference between -7 and -12.

If Melissa's daughter is my daughter's mother, what am I to Melissa?
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A Professor at a Nigerian University sent his phone number in a disorderly manner to his students. The disordered phone number was 64001128454.

To know his real phone number, he gave the students the following conditions:

1. Eight (8) must come between two zeros (0 s).

2.The first number after the first condition must not be an odd number and it must be greater than 5.

3. The seventh number must be 1.

4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.

5. The fifth and sixth numbers are greater than 2.

6. The ninth and tenth numbers are the same.

7. The eighth number is greater than the last number.

8. The phone number must be 11 digits.

What is the Professor's real phone number?

Solve the inequality
|3–7x|

Simplify