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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 1+0.0575 = (1+5.25/400)(1+3x/400) .
Question type: Equation
Solution:Original question:
| 1 | + | 23 400 | = | ( | 1 | + | 21 4 | ÷ | 400 | ) | ( | 1 | + | 3 | x | ÷ | 400 | ) |
| Left side of the equation = | 423 400 |
423 400 | = | ( | 1 | + | 21 4 | ÷ | 400 | ) | ( | 1 | + | 3 | x | ÷ | 400 | ) |
| Right side of the equation = | 1 | ( | 1 | + | 3 | x | ÷ | 400 | ) | + | 21 4 | ÷ | 400 | × | ( | 1 | + | 3 | x | ÷ | 400 | ) |
| = | 1 | ( | 1 | + | 3 | x | ÷ | 400 | ) | + | 21 1600 | ( | 1 | + | 3 | x | ÷ | 400 | ) |
| = | 1 | × | 1 | + | 1 | × | 3 | x | ÷ | 400 | + | 21 1600 | ( | 1 | + | 3 | x | ÷ | 400 | ) |
| = | 1 | + | 3 400 | x | + | 21 1600 | ( | 1 | + | 3 | x | ÷ | 400 | ) |
| = | 1 | + | 3 400 | x | + | 21 1600 | × | 1 | + | 21 1600 | × | 3 | x | ÷ | 400 |
| = | 1 | + | 3 400 | x | + | 21 1600 | + | 63 640000 | x |
| = | 1621 1600 | + | 4863 640000 | x |
423 400 | = | 1621 1600 | + | 4863 640000 | x |
Transposition :
| - | 4863 640000 | x | = | 1621 1600 | − | 423 400 |
Combine the items on the right of the equation:
| - | 4863 640000 | x | = | - | 71 1600 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
71 1600 | = | 4863 640000 | 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 :
4863 640000 | x | = | 71 1600 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 71 1600 | ÷ | 4863 640000 |
| = | 71 1600 | × | 640000 4863 |
| = | 71 | × | 400 4863 |
We obtained :
| x | = | 28400 4863 |
Convert the result to decimal form :
| x | = | 5.840016 |