解一元二次方程:1.x눀-12x-4=0(配方法解) 2.x눀+3x-4=0(用配方法)

3.2x눀-5x-1=0(配方法解)
2024-12-16 14:47:32
推荐回答(5个)
回答1:

1.x²-12x-4=0(配方法解)
x²-12x+36=40
(x-6)²=40
x-6=±2√10
x1=6+2√10
x2=6-2√10
2.x²+3x-4=0
x²+3x+9/4=25/4
(x+3/2)²=25/4
x+3/2=±5/2
x1=5/2-3/2=1
x2=-5/2-3/2=-4
3.2x²-5x-1=0
x²-5/2x-1/2=0
x²-5/2x+25/16=57/16
(x-5/4)²=33/16
x-5/4=±√33/4
x1=(5+√33)/4
x2=(5-√33)/4

回答2:

(1)x^2-12x-4=0
(x-6)^2-36-4=0
(x-6)^2=40
x-6=+-2*10^1/2
x=6+-2*10^1/2
(2)x^2+3x-4=0
(x+3/2)^2-9/4-4=0
(x+3/2)^2=25/4
x+3/2=+-5/2
x=+-5/2-3/2
x1=1,x2=-4
3)2x^2-5x-1=0
x^2-5/2x-1/2=0
(x-5/4)^2-25/16-1/2=0
(x-5/4)^2=33/16
x-5/4=+-33^1/2/4
x=5/4+-33^1/2/4=(5+-33^1/2)/4

回答3:

1解x²-12x=4
( x-6)²=40
x-6=2根号10
或x-6=-2根号10
x1=2根号10+6
x2=-2根号10+6

2解x²+3x=4
(x+3/2)²=25/4
x+3/2=正负5/2
x1=1 x2=-4

回答4:

1.无法用配方法解此题,因为解为无理数
2.(x+4)(x-1)
x1=-4
x2=1
3.无法用配方法解此题,因为解为无理数

回答5:

1.(x-6)²-40=0
x-6=正负2根号10
x=6加减2根号10
2.(x+3/2)²-25/4=0
x+3/2=正负5/2
x=-3/2加减5/2
3.2(x-5/4)²-33/8=0
x=5/4加减四分之根号33