If the roots of ax^2 + bx +c = 0 are in the ratio 3:4, prove that 12b^2 = 49ac?
2 Answers
Explanation:
Reminder of the improved quadratic formula (Socratic Search)
Determinant -->
The 2 real roots are:
The ration
Cross multiply -->
- 3b - 3d = 4d - 4b
4b - 3b = 4d + 3d
b = 7d.
Square both sides -->
Let
Hence
Again it is also given that
Let
So
Hence
Proved