早教吧作业答案频道 -->数学-->
高分求三个一元六次方程的六个根(1)x^6-10x^5+10x^4+80x^3-11x^2-70x=0(2)x^6-6x^5-257x^4+750x^3+18544x^2+3936x-177408=0(3)x^6-x^5-22x^4+35x^3+13x^2-22x-8=0
题目详情
高分求三个一元六次方程的六个根
(1)x^6-10x^5+10x^4+80x^3-11x^2-70x=0
(2)x^6-6x^5-257x^4+750x^3+18544x^2+3936x-177408=0
(3)x^6-x^5-22x^4+35x^3+13x^2-22x-8=0
(1)x^6-10x^5+10x^4+80x^3-11x^2-70x=0
(2)x^6-6x^5-257x^4+750x^3+18544x^2+3936x-177408=0
(3)x^6-x^5-22x^4+35x^3+13x^2-22x-8=0
▼优质解答
答案和解析
解:(1)x^6-10x^5+10x^4+80x^3-11x^2-70x=(x-7)(x-5)(x-1)x(x+1)(x+2)=0
∴x1=7,x2=5,x3=1,x4=0,x5=-1,x6=-2
(2)x^6-6x^5-257x^4+750x^3+18544x^2+3936x-177408=(x-14)(x-12)(x-3)(x+4)(x+8)(x+11)=0
∴x1=14,x2=12,x3=3,x4=-4,x5=-8,x6=-11
(3)x^6-x^5-22x^4+35x^3+13x^2-22x-8=(x^3-5x^2+3x+2)(x^3+4x^2-5x-4)=0
解方程x^3-5x^2+3x+2=0得x1=4.164247938460211,x2=-0.3913823806309005,x3=1.22713444217069
解方程x^3+4x^2-5x-4=0得x4=1.4336646297832878,x5=-4.8595233886152185,x6=-0.574141241168071
∴x1=4.164247938460211
x2=-0.3913823806309005
x3=1.22713444217069
x4=1.4336646297832878
x5=-4.8595233886152185
x6=-0.574141241168071
∴x1=7,x2=5,x3=1,x4=0,x5=-1,x6=-2
(2)x^6-6x^5-257x^4+750x^3+18544x^2+3936x-177408=(x-14)(x-12)(x-3)(x+4)(x+8)(x+11)=0
∴x1=14,x2=12,x3=3,x4=-4,x5=-8,x6=-11
(3)x^6-x^5-22x^4+35x^3+13x^2-22x-8=(x^3-5x^2+3x+2)(x^3+4x^2-5x-4)=0
解方程x^3-5x^2+3x+2=0得x1=4.164247938460211,x2=-0.3913823806309005,x3=1.22713444217069
解方程x^3+4x^2-5x-4=0得x4=1.4336646297832878,x5=-4.8595233886152185,x6=-0.574141241168071
∴x1=4.164247938460211
x2=-0.3913823806309005
x3=1.22713444217069
x4=1.4336646297832878
x5=-4.8595233886152185
x6=-0.574141241168071
看了 高分求三个一元六次方程的六个...的网友还看了以下:
高分求三个一元六次方程的六个根(1)x^6-10x^5+10x^4+80x^3-11x^2-70x 2020-04-27 …
(1)x÷60=14(2)78x−13=0.85(3)(1+25)x=24(4)70-4.8x=0 2020-05-17 …
解方程70x=80x(x-3) 2020-06-02 …
解方程1/(70X+28)=1/(80X+8) 2020-06-02 …
80x+400=200x-1400200x-80x是什么意思200x-80x=400+140012 2020-06-06 …
小马虎把70X(什么+4),错算成70X什么+4,他得到的结果与正确的结果相差多少?X就是乘 2020-06-06 …
甲、乙两车同时从东西两地相向开出,甲车平均每小时行80千米,乙车平均每小时行75千米,x小时后两车 2020-07-17 …
(302x)(50-x)=2100的解.除了下面的方法有没有简单的方法1500+70x-2x²=2 2020-07-19 …
z=0.015x*x+y*x*0.05+(1-x-y)*2.5*(x+y)x>0.35.xy>0. 2020-07-20 …
x(70-2x)=600该怎么解为什么一直算不出来70x-2x^2=6002X^2-70X+600 2020-07-25 …