Question

解数学方程

①27=4x²；②x﹙x－1﹚＋3﹙x－1﹚＝0；③3（x-5²）=2（5-x）；④½（x+3）²=2；⑤3x²=4x-1

Answer 1

①27=4x²x²=27/4x=±3/2√3②x﹙x－1﹚＋3﹙x－1﹚＝0x²+2x-3=0(x-1)(x+3)=0x=1,x=-3③3（x-5²）=2（5-x）3x+2x=10+755x=85x=17④½（x+3）²=2（x+3）²=4x+3=±4x=1,x=-7⑤3x²=4x-13x²-4x+1=0(x-1)(3x-1)=0x=1,x=1/3

Answer 2

①27=4x²
x=±3/2根号3

②x﹙x－1﹚＋3﹙x－1﹚＝0
(X+3)(X-1)=0
X=-3或x=1

③3（x-5²）=2（5-x）
3x-25=10-2x
5x=35
x=7

④½（x+3）²=2
（x+3）²=4
x+3=±2
x=-3±2
x=-1或x-5

⑤3x²=4x-1
3x²-4x+1=0
(3x-1)(x-1)=0
3x-1=0或x-1=0
x=1/3或x=1

Answer 3

①27=4x²
x²=27/4
x=±3√3/2

②x(x－1)＋3(x－1)＝0
(x-1)(x+3)=0
x=1或x=-3

③3(x-5)²=2(5-x)
(x-5)[3(x-5)+2]=0
(x-5)(3x-13)=0
x=5或x=13/3

④½（x+3）²=2
(x+3)²=4
x+3=-2或x+3=2
x=-5或x=-1

⑤3x²=4x-1
3x²-4x+1=0
(x-1)(3x-1)=0x=1或x=1/3

Answer 4

1. x^2=27/4, x=3x(3^(1/2))/2
2. x^2-x+3x-3=x^2+2X-3=0,(x+3)(x-1)=0, x=1 or x=-3.
3.3x-125=10-2x,5x=135,x=27.
4.(x+3)^2=4,x+3=2 or X+3=-2,X=-1 or x=-5.
5.3X^2-4X+1=0,(X-1)(3X-1)=0, X=1 or X=1/3.

Answer 5

x＝3√3/2 x＝-3或1 第三题你是不是打错了＝ ＝ x＝-1或-5 x＝1或1/3