- #1
erisedk
- 374
- 7
Homework Statement
If both roots of the equation ax^2 + x + c - a = 0 are imaginary and c > -1, then:
Ans: 3a < 2+4c
Homework Equations
Discriminant < 0 for img roots
Vieta
The Attempt at a Solution
1-4(a)(c-a)<0
4ac > 4a^2 + 1
Minimum value of 4a^2 + 1 is 1 so
4ac>1
I can't think of anything beyond this and I have no idea how to incorporate c>-1 into my equations.