已知x²+3x-1=0,求(x-3)/(3x²-6x)÷(x+2-5/(x+2))的值
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/17 02:45:37
已知x²+3x-1=0,求(x-3)/(3x²-6x)÷(x+2-5/(x+2))的值
![](http://img.wesiedu.com/upload/c/2d/c2d752290d2fa51ef4e7cc29632704f2.jpg)
![](http://img.wesiedu.com/upload/c/2d/c2d752290d2fa51ef4e7cc29632704f2.jpg)
![已知x²+3x-1=0,求(x-3)/(3x²-6x)÷(x+2-5/(x+2))的值](/uploads/image/z/10803249-9-9.jpg?t=%E5%B7%B2%E7%9F%A5x%26%23178%3B%2B3x-1%3D0%2C%E6%B1%82%28x-3%29%2F%283x%26%23178%3B-6x%29%C3%B7%EF%BC%88x%2B2-5%2F%28x%2B2%29%EF%BC%89%E7%9A%84%E5%80%BC)
x²+3x-1=0
x²+3x=1
(x-3)/3x²-6x)/[(x+2-5/(x-2)]
={(x-3)/[3x(x-2)]}/{[(x+2)(x-2)-5]/(x-2)]}
={(x-3)/[3x(x-2)]}/[(x²-9)/(x-2)]
={(x-3)/[3x(x-2)]}/{[(x+3)(x-3)]/(x-2)]}
=1/[3x(x+3)]
=1/[3(x²+3x)]
=1/3
x²+3x=1
(x-3)/3x²-6x)/[(x+2-5/(x-2)]
={(x-3)/[3x(x-2)]}/{[(x+2)(x-2)-5]/(x-2)]}
={(x-3)/[3x(x-2)]}/[(x²-9)/(x-2)]
={(x-3)/[3x(x-2)]}/{[(x+3)(x-3)]/(x-2)]}
=1/[3x(x+3)]
=1/[3(x²+3x)]
=1/3
已知1+x+x^2+x^3=0,求x+x^2+x^3+x^4+x^5+x^6+x^7+x^8的值
已知x²+3x-1=0 求(x-3)÷(3x²-6x)÷(x+2-[5÷(x-2)])的值
已知x²+3x-1=0,求(x-3)/(3x²-6x)÷(x+2-5/(x+2))的值
已知 X=4- 根号3 求 (X*X*X*X-6X*X*X-2X*X+18X+23) / (X*X-8X+15)的值
已知1+x+x^2+x^3=0,求x+x^2+x^3+x^4+x^+x^6+x^7+x^8的值
已知x²-3x=6,求(x+2)(x+3)-2x(x+1)-5的值
已知实数x满足5x*x-3x-5=0,求代数式5x*x-2x-1/5x*x-2x-5的值.
已知实数x满足5x*x-3x-5=0,求代数式5x*x-2x-[1/5x*x-2x-5]的值.
已知x²-x-1的值是0求x³-x²-x+5和(3x²+5x+2)-(x
已知(x-2)(x²-6x-9)=x(x-5)(x-3),求6x的算术平方根
已知x²-2x-1=0,求(x-1)(3x+1)-x(x+2)的值
已知x^3+x^2+x+1=0,求1++x+x^2+x^3+x^4+x^5+...+x^2007的值