用配方法解下列方程
6x²-7x+1=0
5x²-18=9x
4x²-3x=52
5x²=4-2x
x²-3x+1=0
2x²+6=7x
3x²-9x+2=o
步骤写完整
用配方法解下列方程
6x²-7x+1=0
5x²-18=9x
4x²-3x=52
5x²=4-2x
x²-3x+1=0
2x²+6=7x
3x²-9x+2=o
步骤写完整
这些方程用配方法好麻烦的!!!!!
6x²-7x+1=o
x²-7/6x+1/6=0
(x-7/12)²+1/6-49/144=o
(x-7/12)²=25/144
x-7/12=+_5/12 所以x=1或x=1/6
5x²-9x-18=0
x²-9/5x-18/5=0
(x-9/10)²-18/5-81/100=0
(x-9/10)²=441/100
x-9/10=+-21/10 所以x=3或x=-6/5
4x²-3x-52=0
x²-3/4x-13=0
(x-3/8)²-13-9/64=0
(x-3/8)²=841/64
x-3/8=+-29/8 所以x=4或X=-13/4
5x²+2X-4=0
x²+2/5X-4/5=0
(x-1/5)²-21/25=0
x-1/5=+-√21/5 所以x=(1+√21)/5 或x=(1-√21)/5
(X-3/2)²+1-9/4=0
(X-3/2)²=5/4
X-3/2=+-√5/2 所以(x=3+√5)/2或x=3-5)/2
2x²-7x+6=0
x²-7/2+3=0
(x-7/4)²+3-49/16=0
x-7/4=+-1/4 所以x=2或x=3/2
x²-3x+2/3=o
(x-3/2)²+2/3-9/4=0
((x-3/2)²=19/4
x-3/2=+-√19/2 所以x=(3+√19)/2或x=(3-√19)/2
完整步骤如上!!!
6x²-7x+1=0 (6x-1)(x-1)=0 x=1/6 x=1
5x²-18=9x 5x^2-9x-18=(5x+6)(x-3)=0 x=-6/5 x=3
4x²-3x=52 4x^2-3x-52=(4x+13)(x-4)=0 x=-13/4 x=4
5x²=4-2x 5x^2+2x-4=0 (5x-2)(x+2)=0 x=2/5 x=-2
x²-3x+1=0 x=(3+根号5)/2 x=(3-根号5)/2
2x²+6=7x 2x^2-7x+6=0 (2x-3)(x-2)=0 x=3/2 x=2
3x²-9x+2=o x=(9-根号57)/6 x=(9+根号57)/6
6x²-7x+1=0
6(x^2-7/6x)+1=0
6(x-7/12)^2-25/24=0
(x-7/12)^2=25/144
x=7/12+-5/12
x=1 x=1/6
5x²-18=9x
5x^2-9x-18=0
5(x^2-9x/5)=18
5(x-9/10)^2=441/20
(x-9/10)^2=441/100
x-9/10=+-21/10
x=3 x=-6/5
4x²-3x=52
5x²=4-2x
x²-3x+1=0
2x²+6=7x
3x²-9x+2=o