(1)12x-5=3x²
3x^2-12x+5=0
x=(-b±√b^2-4ac)/2a
x1=2+√21/3 x2=2-√21/3
(2)2x²-3x-6=0
x²-3/2x=6
x²-3/2x+(3/4)^2=6+(3/4)^2
(x-3/4)^2=105/4
x-3/4=1/2√105 或x-3/4=-1/2√105
x1=1/2√105+3/4 x2=-1/2√105+3/4
(3)x²-4√3x+10=0
x=(-b±√b^2-4ac)/2a
x1=2√3+√2 x2=2√3+√2
(4)(x+1)²-2(x-1)²=6x-5
x^2+2x+1-2x^2+4x-2=6x-5
x^2=4
x1=2 或 x2=-2
(5)(2x-1)(3x+2)=x²+2
6x^2-3x+4x-2=x^2+2
5x^2+x-4=0
x=(-b±√b^2-4ac)/2a
x1=(-1+√105)/10 x2=(-1-√105)/10
(6)5x+2=2x²
2x^2-5x-2=0
x=(-b±√b^2-4ac)/2a
x1=(5+√41)/4 x2=(5-√41)/4
(7)3t²/2+4t-2=0
3t²+8t-4=0
x=(-b±√b^2-4ac)/2a
x1=(-4+2√7)/3 x2=(-4-2√7)/3