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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 23.12 = x（1+5×10%）÷（1+x×4%） .
Question type: Equation
Solution:Original question:
578 25 | = | x | ( | 1 | + | 5 | × | 10 100 | ) | ÷ | ( | 1 | + | x | × | 4 100 | ) |
| Multiply both sides of the equation by: | ( | 1 | + | x | × | 4 100 | ) |
578 25 | ( | 1 | + | x | × | 4 100 | ) | = | x | ( | 1 | + | 5 | × | 10 100 | ) |
578 25 | × | 1 | + | 578 25 | x | × | 4 100 | = | x | ( | 1 | + | 5 | × | 10 100 | ) |
578 25 | × | 1 | + | 578 25 | x | × | 4 100 | = | x | × | 1 | + | x | × | 5 | × | 10 100 |
578 25 | + | 578 625 | x | = | x | × | 1 | + | x | × | 1 2 |
578 25 | + | 578 625 | x | = | 3 2 | x |
Transposition :
578 625 | x | − | 3 2 | x | = | - | 578 25 |
Combine the items on the left of the equation:
| - | 719 1250 | x | = | - | 578 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
578 25 | = | 719 1250 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
719 1250 | x | = | 578 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 578 25 | ÷ | 719 1250 |
| = | 578 25 | × | 1250 719 |
| = | 578 | × | 50 719 |
We obtained :
| x | = | 28900 719 |
Convert the result to decimal form :
| x | = | 40.194715 |