1.4(x-3)(x-1)-(2x-3)^2-6=0,
4(x^2-4x+3)-(4x^2-12x+9)-6=0,
-4x-3=0,
x=-3/4.
2.(a+2b)^2=7,①
(a-2b)^2=3,②
(1)①+②,2a^2+8b^2=10,
∴a^2+4b^2=5.
(2)(①-②)/8,ab=1/2.