解方程根号(9-x^2)+根号(4-x^2)=4
来源:学生作业帮 编辑:搜狗做题网作业帮 分类:数学作业 时间:2024/06/05 00:15:54
解方程根号(9-x^2)+根号(4-x^2)=4
如果(9-x^2)^0.5-(4-x^2)^0.5≠0的话
方程两边同乘(9-x^2)^0.5-(4-x^2)^0.5
先证明(9-x^2)^0.5-(4-x^2)^0.5≠0
9≠4
9-x^2≠4-x^2
(9-x^2)^0.5≠(4-x^2)^0.5
(9-x^2)^0.5-(4-x^2)^0.5≠0
方程两边同乘(9-x^2)^0.5-(4-x^2)^0.5
[(9-x^2)^0.5+(4-x^2)^0.5]×[(9-x^2)^0.5-(4-x^2)^0.5]=4[(9-x^2)^0.5-(4-x^2)^0.5]
[(9-x^2)-(4-x^2)]=4[(9-x^2)^0.5-(4-x^2)^0.5]
(9-x^2)^0.5-(4-x^2)^0.5=5/4
和原方程相加
2(9-x^2)^=4+5/4=21/4
9-x^2=441/64
x=±3/8×15^0.5
(9-x^2)^0.5-(4-x^2)^0.5=5/4和(9-x^2)^0.5+(4-x^2)^0.5=4两式相减求出x也=±3/8×15^0.5
方程两边同乘(9-x^2)^0.5-(4-x^2)^0.5
先证明(9-x^2)^0.5-(4-x^2)^0.5≠0
9≠4
9-x^2≠4-x^2
(9-x^2)^0.5≠(4-x^2)^0.5
(9-x^2)^0.5-(4-x^2)^0.5≠0
方程两边同乘(9-x^2)^0.5-(4-x^2)^0.5
[(9-x^2)^0.5+(4-x^2)^0.5]×[(9-x^2)^0.5-(4-x^2)^0.5]=4[(9-x^2)^0.5-(4-x^2)^0.5]
[(9-x^2)-(4-x^2)]=4[(9-x^2)^0.5-(4-x^2)^0.5]
(9-x^2)^0.5-(4-x^2)^0.5=5/4
和原方程相加
2(9-x^2)^=4+5/4=21/4
9-x^2=441/64
x=±3/8×15^0.5
(9-x^2)^0.5-(4-x^2)^0.5=5/4和(9-x^2)^0.5+(4-x^2)^0.5=4两式相减求出x也=±3/8×15^0.5
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
解方程:根号4x^2+4x+1-根号x^2+x+3=根号x^2+x-2.
解方程(根号2*x+根号3)平方=4
解方程:根号2x^2+4根号3x=2根号2
解方程:根号2x平方+4根号3x=2根号2
解方程 x平方-2(根号3+根号5)x+4根号15=0
解方程:根号(x+根号2x-1)+根号(x-根号2x-1)=mx
解方程9^(2根号2x)-4*3^(2根号2x)+3=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2x^2+(根号3-4)x-2根号3=0
根号5-x+根号2x+9=4 解方程
解方程4x方+x+2x根号下(3x方+x) =9