• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

Complex numb help (1 Viewer)

CM_Tutor

Moderator
Moderator
Joined
Mar 11, 2004
Messages
2,642
Gender
Male
HSC
N/A
is a quadratic equation in , so the solutions of are




there are no real solutions.
 

icycledough

Well-Known Member
Joined
Aug 5, 2021
Messages
784
Gender
Male
HSC
2020
I'm not sure if you would be required to justify it mathematically it, or if you could explain it in writing. But essentially, x^4 will always be positive, Ax^2 will always be positive (as A is strictly positive) and B must be positive. Thus, adding 3 positive numbers cannot result in a root for the equation.
 

Drongoski

Well-Known Member
Joined
Feb 22, 2009
Messages
4,255
Gender
Male
HSC
N/A
I'm not sure if you would be required to justify it mathematically it, or if you could explain it in writing. But essentially, x^4 will always be positive, Ax^2 will always be positive (as A is strictly positive) and B must be positive. Thus, adding 3 positive numbers cannot result in a root for the equation.
That's essentially what I said before. The simplest explanation.
 
Last edited:

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top