(9+4根号2)x^2-(1+2根号2)x-2=0解方程
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/17 02:04:11
(9+4根号2)x^2-(1+2根号2)x-2=0解方程
(9+4√2)x²-(1+2√2)x-2=0
[(1+2√2)x]²-[2×(1+2√2)×(1/2)]x+(1/2)²-(1/2)²-2=0
[(1+2√2)x-1/2]²-(1/2)²-2=0
[(1+2√2)x-1/2]²=9/4
(1+2√2)x-1/2=±3/2
(1+2√2)x=(1±3)/2
x1=(1+3)/[2(1+2√2)]=2(1-2√2)/[(1+2√2)(1-2√2)]=(4√2-2)/7
x1=(1-3)/[2(1+2√2)]=-(1-2√2)/[(1+2√2)(1-2√2)]=(2√2-1)/7
[(1+2√2)x]²-[2×(1+2√2)×(1/2)]x+(1/2)²-(1/2)²-2=0
[(1+2√2)x-1/2]²-(1/2)²-2=0
[(1+2√2)x-1/2]²=9/4
(1+2√2)x-1/2=±3/2
(1+2√2)x=(1±3)/2
x1=(1+3)/[2(1+2√2)]=2(1-2√2)/[(1+2√2)(1-2√2)]=(4√2-2)/7
x1=(1-3)/[2(1+2√2)]=-(1-2√2)/[(1+2√2)(1-2√2)]=(2√2-1)/7
解方程:根号(x+根号2x-1)+根号(x-根号2x-1)=mx
解方程根号2x+1=根号2-x
解方程:根号4x^2+4x+1-根号x^2+x+3=根号x^2+x-2.
解方程1)根号X+2乘以根号2X-1-根号3=0 2)根号X+5+根号X-3=4
解方程:(1+根号2)X平方-(3+根号2)X+根号2=0
解方程 x平方-2(根号3+根号5)x+4根号15=0
解方程(1/根号X(根号X+2))+(1/(根号X+2)(根号X+4))+...+(1/(根号X+8)(根号X+10))
解方程:(x-根号3)=3x(根号3-x) x²-2(根号3+根号5)x+4根号15=0
(根号3x-根号2)(根号3x+根号2)=x 解方程
解方程 x^2-根号3X-根号2X+根号6=0
解方程:根号(2x-3)+根号(3x-5)-根号(5x-6)=0
解分式方程:x+根号x+根号(x+2)+根号(x^2+2x)=3