+129847 3x^2 + 4x + 12 = x^2 - 5x + 7 rearrange as
2x^2 + 9x + 5 = 0
The sum of the roots = -9/2 = r + s square both sides
r^2 + 2rs + s^2 = 81/4
The product of the roots = 5/2 = rs
So ...... 2rs = 5
So
r^2 + 2rs + s^2 = 81/4
r^2 + 5 + s^2 = 81/4
r^2 + s^2 = 81/4 - 5 = 81/4 - 20/4 = 61 / 4
