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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 (360/（1+(x/100)）)+(300/（1+(x/25)）)+(300/（1+(x/40)))+(240/（1+(x/65)）)+(160/（1+(x/35)))-750 = 0 .
Question type: Equation
Solution:Original question:
| ( | 360 | ÷ | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | − | 750 | = | 0 |
| 360 | ÷ | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | − | 750 | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | ( | x | ÷ | 100 | ) | ) |
| 360 | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | − | 750 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 360 | + | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | × | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | − | 750 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | ( | x | ÷ | 25 | ) | ) |
| 360 | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 360 | × | 1 | + | 360 | ( | x | ÷ | 25 | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 360 | + | 360 | ( | x | ÷ | 25 | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | = | 0 |
| 360 | + | 360 | x | ÷ | 25 | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 360 | + | 72 5 | x | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | = | 0 |
| 360 | + | 72 5 | x | + | 300 | × | 1 | + | 300 | ( | x | ÷ | 100 | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 360 | + | 72 5 | x | + | 300 | + | 300 | ( | x | ÷ | 100 | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 72 5 | x | + | 300 | ( | x | ÷ | 100 | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | = | 0 |
| 660 | + | 72 5 | x | + | 300 | x | ÷ | 100 | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 72 5 | x | + | 3 | x | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | = | 0 |
| 660 | + | 87 5 | x | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 87 5 | x | + | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | × | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | ( | x | ÷ | 40 | ) | ) |
| 660 | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 87 5 | x | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | = | 0 |
| 660 | × | 1 | + | 660 | ( | x | ÷ | 40 | ) | + | 87 5 | x | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 660 | + | 660 | ( | x | ÷ | 40 | ) | + | 87 5 | x | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 660 | x | ÷ | 40 | + | 87 5 | x | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 660 | + | 33 2 | x | + | 87 5 | x | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 33 2 | x | + | 87 5 | x | × | 1 | + | 87 5 | x | ( | x | ÷ | 40 | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 33 2 | x | + | 87 5 | x | + | 87 5 | x | ( | x | ÷ | 40 | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | = | 0 |
The solution of the equation:
x1≈-83.130475 , keep 6 decimal places
x2≈-53.825194 , keep 6 decimal places
x3≈-36.677344 , keep 6 decimal places
x4≈-28.567420 , keep 6 decimal places
x5≈39.467100 , keep 6 decimal places
There are 5 solution(s).
解程的详细方法请参阅：《方程的解法》