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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.
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 245.2/(93.72x+6.28)+525/(98.164x+1.836)+42/(93.72x+6.28)+55.64/(76x+24) = 40 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The solution of the equation:
x1≈-0.315789 , keep 6 decimal places
x2≈-0.305549 , keep 6 decimal places
x3≈-0.018703 , keep 6 decimal places
x4≈0.184318 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 245.2/(93.72x+6.28)+525/(98.164x+1.836)+42/(93.72x+6.28)+55.64/(76x+24) = 40 .
Question type: Equation
Solution:Original question:
1226 5 | ÷ | ( | 2343 25 | x | + | 157 25 | ) | + | 525 | ÷ | ( | 24541 250 | x | + | 459 250 | ) | + | 42 | ÷ | ( | 2343 25 | x | + | 157 25 | ) | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | = | 40 |
| Multiply both sides of the equation by: | ( | 2343 25 | x | + | 157 25 | ) |
1226 5 | + | 525 | ÷ | ( | 24541 250 | x | + | 459 250 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | + | 42 | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | = | 40 | ( | 2343 25 | x | + | 157 25 | ) |
1226 5 | + | 525 | ÷ | ( | 24541 250 | x | + | 459 250 | ) | × | 2343 25 | x | + | 525 | ÷ | ( | 24541 250 | x | + | 459 250 | ) | × | 157 25 | + | 42 | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | = | 40 | ( | 2343 25 | x | + | 157 25 | ) |
1226 5 | + | 525 | ÷ | ( | 24541 250 | x | + | 459 250 | ) | × | 2343 25 | x | + | 525 | ÷ | ( | 24541 250 | x | + | 459 250 | ) | × | 157 25 | + | 42 | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | = | 40 | × | 2343 25 | x | + | 40 | × | 157 25 |
1226 5 | + | 49203 | ÷ | ( | 24541 250 | x | + | 459 250 | ) | × | x | + | 3297 | ÷ | ( | 24541 250 | x | + | 459 250 | ) | + | 42 | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | = | 18744 5 | x | + | 1256 5 |
1436 5 | + | 49203 | ÷ | ( | 24541 250 | x | + | 459 250 | ) | × | x | + | 3297 | ÷ | ( | 24541 250 | x | + | 459 250 | ) | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | = | 18744 5 | x | + | 1256 5 |
| Multiply both sides of the equation by: | ( | 24541 250 | x | + | 459 250 | ) |
1436 5 | ( | 24541 250 | x | + | 459 250 | ) | + | 49203 | x | + | 3297 | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | ( | 24541 250 | x | + | 459 250 | ) | = | 18744 5 | x | ( | 24541 250 | x | + | 459 250 | ) | + | 1256 5 | ( | 24541 250 | x | + | 459 250 | ) |
1436 5 | × | 24541 250 | x | + | 1436 5 | × | 459 250 | + | 49203 | x | + | 3297 | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | ( | 24541 250 | x | + | 459 250 | ) | = | 18744 5 | x | ( | 24541 250 | x | + | 459 250 | ) | + | 1256 5 | ( | 24541 250 | x | + | 459 250 | ) |
1436 5 | × | 24541 250 | x | + | 1436 5 | × | 459 250 | + | 49203 | x | + | 3297 | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | ( | 24541 250 | x | + | 459 250 | ) | = | 18744 5 | x | × | 24541 250 | x | + | 18744 5 | x | × | 459 250 | + | 1256 5 | ( | 24541 250 | x | + | 459 250 | ) |
17620438 625 | x | + | 329562 625 | + | 49203 | x | + | 3297 | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | ( | 24541 250 | x | + | 459 250 | ) | = | 229998252 625 | x | x | + | 4301748 625 | x | + | 1256 5 | ( | 24541 250 | x | + | 459 250 | ) |
48372313 625 | x | + | 2390187 625 | + | 1391 25 | ÷ | ( | 76 | x | + | 24 | ) | × | ( | 2343 25 | x | + | 157 25 | ) | ( | 24541 250 | x | + | 459 250 | ) | = | 229998252 625 | x | x | + | 4301748 625 | x | + | 1256 5 | ( | 24541 250 | x | + | 459 250 | ) |
| Multiply both sides of the equation by: | ( | 76 | x | + | 24 | ) |
48372313 625 | x | ( | 76 | x | + | 24 | ) | + | 2390187 625 | ( | 76 | x | + | 24 | ) | + | 1391 25 | ( | 2343 25 | x | + | 157 25 | ) | ( | 24541 250 | x | + | 459 250 | ) | = | 229998252 625 | x | x | ( | 76 | x | + | 24 | ) | + | 4301748 625 | x | ( | 76 | x | + | 24 | ) | + | 1256 5 | ( | 24541 250 | x | + | 459 250 | ) | ( | 76 | x | + | 24 | ) |
48372313 625 | x | × | 76 | x | + | 48372313 625 | x | × | 24 | + | 2390187 625 | ( | 76 | x | + | 24 | ) | + | 1391 25 | ( | 2343 25 | x | + | 157 25 | ) | ( | 24541 250 | x | + | 459 250 | ) | = | 229998252 625 | x | x | ( | 76 | x | + | 24 | ) | + | 4301748 625 | x | ( | 76 | x | + | 24 | ) | + | 1256 5 | ( | 24541 250 | x | + | 459 250 | ) | ( | 76 | x | + | 24 | ) |
48372313 625 | x | × | 76 | x | + | 48372313 625 | x | × | 24 | + | 2390187 625 | ( | 76 | x | + | 24 | ) | + | 1391 25 | ( | 2343 25 | x | + | 157 25 | ) | ( | 24541 250 | x | + | 459 250 | ) | = | 229998252 625 | x | x | × | 76 | x | + | 229998252 625 | x | x | × | 24 | + | 4301748 625 | x | ( | 76 | x | + | 24 | ) |
The solution of the equation:
x1≈-0.315789 , keep 6 decimal places
x2≈-0.305549 , keep 6 decimal places
x3≈-0.018703 , keep 6 decimal places
x4≈0.184318 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》