(1)x^2-6x=5

问题描述:

(1)x^2-6x=5
(2)4x^2-4x-1=0
(3)x^2-x+1=0
(4)2x^2-3x-2=0

(1)x^2-6x=5
x^2-6x+9=5+9
(x-3)²=14
x=正负根号14+ 3
(2)4x^2-4x-1=0
4(x²-x+0.25)=1+1
4(x-0.5)²=2
(x-0.5)²=0.5
x=正负根号0.5+0.5
=(正负根号2+ 1)/2
(3)x^2-x+1=0
x²-x+0.25=-0.75
(x-0.5)²=-0.75
无解
(4)2x^2-3x-2=0
2(x²-1.5x)=2
x²-1.5x=1
x²-1.5x+0.75²=1+0.75²
(x-0.75)²=25/16
x=正负5/4 +0.75
x=2或者x=-0.5