Simplify as
7x^2 + 2x + 21 = 0
uv = 21 / 7 = 3
(uv)^2 = 9
u + v = -2/7 square both sides
u^2 + 2uv + v^2 = 4/49
u^2 + v^2 + 2(3) =4/49
u^2 + v^2 = 4/49 - 6
u^2 + v^2 = -290 / 49
1/u^2 + 1/v^2 = [ u^2 + v^2 ] / (uv)^2 = [ -290 / 49 ] / [ 9 ] = -290 / 441
+1768 
