(1)x^2-4x+1=0
( x^2-4x+4-4)+1=0
(x-2)^2-4+1=0
(x-2)^2=3
x=2±√3
(2) 3x^2-3x-6=0.
x^2- x-2=0
x^2- x+ 1/4 - 1/4 -2=0
( x - 1/2 )^2 =9/4
x=2 x=-1
(3) 2x^2-4x-2.5=0.
x^2-2x-2.5/2=0.
x^2-2x +1 -1=2.5/2
(x-1)^2=1.25+1=2.25
x=1+ √2.25 x= 1-√2.25
(4) (x-1)^2-2(x-1)-3=0 ..
(x-1)^2-2(x-1) +1 -1 -3=0
{(x-1)-1}^2=4
(x-2)^2=4
x=0 x=4
5.设这个百分比为q.
则 360×q×q=100
q=√10/6 ≈ 5.27 √10 (根10≈3.16)
所以该商场打5.27折
6.由题意得:3t^2+8t=16 t﹥0
t^2+8/3 t=16/3
t^2+8/3 t +16/9 -16/9 =16/3
(t+ 4/3)^2 -16/9 =16/3
t + 4/3= 8/3
t=4/3
全部是用同样的方法去组合 (a±1)^2=a^2±2a+1 的公式