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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+5×4%） .
Question type: Equation
Solution:Original question:
578 25 | = | x | ( | 1 | + | 5 | × | 10 100 | ) | ÷ | ( | 1 | + | 5 | × | 4 100 | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 5 | × | 4 100 | ) |
578 25 | ( | 1 | + | 5 | × | 4 100 | ) | = | x | ( | 1 | + | 5 | × | 10 100 | ) |
578 25 | × | 1 | + | 578 25 | × | 5 | × | 4 100 | = | x | ( | 1 | + | 5 | × | 10 100 | ) |
578 25 | × | 1 | + | 578 25 | × | 5 | × | 4 100 | = | x | × | 1 | + | x | × | 5 | × | 10 100 |
578 25 | + | 578 125 | = | x | × | 1 | + | x | × | 1 2 |
3468 125 | = | 3 2 | 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 :
3 2 | x | = | 3468 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3468 125 | ÷ | 3 2 |
| = | 3468 125 | × | 2 3 |
| = | 1156 125 | × | 2 |
We obtained :
| x | = | 2312 125 |
Convert the result to decimal form :
| x | = | 18.496 |