Qwertyuiop[]
Junior Member
- Joined
- Jun 1, 2022
- Messages
- 123
Hi, I have a question regarding complex numbers. z is a complex number such that z= a+ib , simplify and prove that it's positive.
I will not show all the working but i will write what i got after simplification:
[math]5a^2 + (1-\sqrt{5})b^2[/math]first i need to know if the answer is correct and then i have to prove that it is positive. I know that a^2 and b^2 will always be positive but the expression 1-sqrt(5) is negative so whether the answer is +ve or -ve will depend on the values of a and b we have correct? So can we know if it's going to be +ve or -ve without knowing the actual values of a and b?
I will not show all the working but i will write what i got after simplification:
[math]5a^2 + (1-\sqrt{5})b^2[/math]first i need to know if the answer is correct and then i have to prove that it is positive. I know that a^2 and b^2 will always be positive but the expression 1-sqrt(5) is negative so whether the answer is +ve or -ve will depend on the values of a and b we have correct? So can we know if it's going to be +ve or -ve without knowing the actual values of a and b?