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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 0.5((0.5((125.875+x)/(1.07+x)+(125.625+x)/(1.05+x))/(1.06+x))+(0.5((125.625+x)/(1.05+x)+(125.375+x)/(1.03+x))/(1.04+x)))/(1.05+x) = 117.4092 .
Question type: Equation
Solution:Original question:
1 2 | ( | ( | 1 2 | ( | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | ) | ÷ | ( | 53 50 | + | x | ) | ) | + | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | ) | ÷ | ( | 21 20 | + | x | ) | = | 293523 2500 |
| Multiply both sides of the equation by: | ( | 21 20 | + | x | ) |
1 2 | ( | ( | 1 2 | ( | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | ) | ÷ | ( | 53 50 | + | x | ) | ) | + | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | ) | = | 293523 2500 | ( | 21 20 | + | x | ) |
1 2 | ( | 1 2 | ( | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | ) | ÷ | ( | 53 50 | + | x | ) | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | = | 293523 2500 | ( | 21 20 | + | x | ) |
1 2 | ( | 1 2 | ( | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | ) | ÷ | ( | 53 50 | + | x | ) | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | = | 293523 2500 | × | 21 20 | + | 293523 2500 | x |
1 2 | ( | 1 2 | ( | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | ) | ÷ | ( | 53 50 | + | x | ) | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | = | 6163983 50000 | + | 293523 2500 | x |
1 2 | × | 1 2 | ( | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | ) | ÷ | ( | 53 50 | + | x | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | = | 6163983 50000 | + | 293523 2500 | x |
1 4 | ( | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | ) | ÷ | ( | 53 50 | + | x | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | = | 6163983 50000 | + | 293523 2500 | x |
| Multiply both sides of the equation by: | ( | 53 50 | + | x | ) |
1 4 | ( | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | ( | 53 50 | + | x | ) | = | 6163983 50000 | ( | 53 50 | + | x | ) | + | 293523 2500 | x | ( | 53 50 | + | x | ) |
1 4 | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | 1 4 | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | ( | 53 50 | + | x | ) | = | 6163983 50000 | ( | 53 50 | + | x | ) | + | 293523 2500 | x | ( | 53 50 | + | x | ) |
1 4 | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | 1 4 | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | ( | 53 50 | + | x | ) | = | 6163983 50000 | × | 53 50 | + | 6163983 50000 | x | + | 293523 2500 | x | ( | 53 50 | + | x | ) |
1 4 | ( | 1007 8 | + | x | ) | ÷ | ( | 107 100 | + | x | ) | + | 1 4 | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | ( | 53 50 | + | x | ) | = | 326691099 2500000 | + | 6163983 50000 | x | + | 293523 2500 | x | ( | 53 50 | + | x | ) |
| Multiply both sides of the equation by: | ( | 107 100 | + | x | ) |
1 4 | ( | 1007 8 | + | x | ) | + | 1 4 | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | × | ( | 107 100 | + | x | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | ( | 53 50 | + | x | ) | ( | 107 100 | + | x | ) | = | 326691099 2500000 | ( | 107 100 | + | x | ) | + | 6163983 50000 | x | ( | 107 100 | + | x | ) | + | 293523 2500 | x | ( | 53 50 | + | x | ) | ( | 107 100 | + | x | ) |
1 4 | × | 1007 8 | + | 1 4 | x | + | 1 4 | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | × | ( | 107 100 | + | x | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | ( | 53 50 | + | x | ) | ( | 107 100 | + | x | ) | = | 326691099 2500000 | ( | 107 100 | + | x | ) | + | 6163983 50000 | x | ( | 107 100 | + | x | ) | + | 293523 2500 | x | ( | 53 50 | + | x | ) | ( | 107 100 | + | x | ) |
1 4 | × | 1007 8 | + | 1 4 | x | + | 1 4 | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | × | ( | 107 100 | + | x | ) | + | 1 2 | ( | 1 2 | ( | ( | 1005 8 | + | x | ) | ÷ | ( | 21 20 | + | x | ) | + | ( | 1003 8 | + | x | ) | ÷ | ( | 103 100 | + | x | ) | ) | ÷ | ( | 26 25 | + | x | ) | ) | ( | 53 50 | + | x | ) | ( | 107 100 | + | x | ) | = | 326691099 2500000 | × | 107 100 | + | 326691099 2500000 | x | + | 6163983 50000 | x | ( | 107 100 | + | x | ) | + | 293523 2500 | x | ( | 53 50 | + | x | ) | ( | 107 100 | + | x | ) |
x≈-0.027152 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》