Mathematics
         
语言:中文    Language:English
On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 39.53037/(126.93*x+1)+0.9305/(17.61*x+1)+0.3339/(4.3*x+1)+0.08736/(0.82*x+1)+0.02925/(-0.25*x+1)+0.019278/(-0.65*x+1)+0.007866/(-0.82*x+1) = 1 .
    Question type: Equation
    Solution:Original question:
     
3953037
100000
÷ (
12693
100
x + 1) +
1861
2000
÷ (
1761
100
x + 1) +
3339
10000
÷ (
43
10
x + 1) +
273
3125
÷ (
41
50
x + 1) +
117
4000
÷ ( -
1
4
x + 1) +
9639
500000
÷ ( -
13
20
x + 1) = 1
     Multiply both sides of the equation by:(
12693
100
x + 1)
     
3953037
100000
+
1861
2000
÷ (
1761
100
x + 1) × (
12693
100
x + 1) +
3339
10000
÷ (
43
10
x + 1) × (
12693
100
x + 1) +
273
3125
÷ (
41
50
x + 1) × (
12693
100
x + 1) +
117
4000
÷ ( -
1
4
x + 1) = 1(
12693
100
x + 1)
    Remove a bracket on the left of the equation::
     
3953037
100000
+
1861
2000
÷ (
1761
100
x + 1) ×
12693
100
x +
1861
2000
÷ (
1761
100
x + 1) × 1 +
3339
10000
÷ (
43
10
x + 1) × (
12693
100
x + 1) +
273
3125
= 1(
12693
100
x + 1)
    Remove a bracket on the right of the equation::
     
3953037
100000
+
1861
2000
÷ (
1761
100
x + 1) ×
12693
100
x +
1861
2000
÷ (
1761
100
x + 1) × 1 +
3339
10000
÷ (
43
10
x + 1) × (
12693
100
x + 1) +
273
3125
= 1 ×
12693
100
x + 1 × 1
    The equation is reduced to :
     
3953037
100000
+
23621673
200000
÷ (
1761
100
x + 1) × x +
1861
2000
÷ (
1761
100
x + 1) +
3339
10000
÷ (
43
10
x + 1) × (
12693
100
x + 1) +
273
3125
÷ (
41
50
x + 1) × (
12693
100
x + 1) =
12693
100
x + 1
     Multiply both sides of the equation by:(
1761
100
x + 1)
     
3953037
100000
(
1761
100
x + 1) +
23621673
200000
x +
1861
2000
+
3339
10000
÷ (
43
10
x + 1) × (
12693
100
x + 1)(
1761
100
x + 1) +
273
3125
÷ (
41
50
x + 1) × (
12693
100
x + 1) =
12693
100
x (
1761
100
x + 1) + 1(
1761
100
x + 1)
    Remove a bracket on the left of the equation:
     
3953037
100000
×
1761
100
x +
3953037
100000
× 1 +
23621673
200000
x +
1861
2000
+
3339
10000
÷ (
43
10
x + 1) × (
12693
100
x + 1)(
1761
100
x + 1) =
12693
100
x (
1761
100
x + 1) + 1(
1761
100
x + 1)
    Remove a bracket on the right of the equation::
     
3953037
100000
×
1761
100
x +
3953037
100000
× 1 +
23621673
200000
x +
1861
2000
+
3339
10000
÷ (
43
10
x + 1) × (
12693
100
x + 1)(
1761
100
x + 1) =
12693
100
x ×
1761
100
x +
12693
100
x × 1 + 1(
1761
100
x + 1)
    The equation is reduced to :
     
6961298157
10000000
x +
3953037
100000
+
23621673
200000
x +
1861
2000
+
3339
10000
÷ (
43
10
x + 1) × (
12693
100
x + 1)(
1761
100
x + 1) +
273
3125
÷ (
41
50
x + 1) =
22352373
10000
x x +
12693
100
x + 1(
1761
100
x + 1)

    The solution of the equation:
        x1≈-1.219512 , keep 6 decimal places
        x2≈-1.141798 , keep 6 decimal places
        x3≈-0.232558 , keep 6 decimal places
        x4≈-0.204660 , keep 6 decimal places
        x5≈-0.007878 , keep 6 decimal places
        x6≈0.469583 , keep 6 decimal places
        x7≈1.199208 , keep 6 decimal places
        x8≈1.219512 , keep 6 decimal places
        x9≈1.493699 , keep 6 decimal places
        x10≈1.538462 , keep 6 decimal places
    
    There are 10 solution(s).


解程的详细方法请参阅:《方程的解法》



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。