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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 1/1200 = 0.7(x+2×3.9)0.0001 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | 1200 | = | 7 10 | ( | x | + | 2 | × | 39 10 | ) | × | 1 10000 |
| Left side of the equation = | 1 1200 |
1 1200 | = | 7 10 | ( | x | + | 2 | × | 39 10 | ) | × | 1 10000 |
| Right side of the equation = | 7 100000 | ( | x | + | 2 | × | 39 10 | ) |
1 1200 | = | 7 100000 | ( | x | + | 2 | × | 39 10 | ) |
| Right side of the equation = | 7 100000 | x | + | 7 100000 | × | 2 | × | 39 10 |
| = | 7 100000 | x | + | 273 500000 |
1 1200 | = | 7 100000 | x | + | 273 500000 |
Transposition :
| - | 7 100000 | x | = | 273 500000 | − | 1 1200 |
Combine the items on the right of the equation:
| - | 7 100000 | x | = | - | 431 1500000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
431 1500000 | = | 7 100000 | 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 :
7 100000 | x | = | 431 1500000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 431 1500000 | ÷ | 7 100000 |
| = | 431 1500000 | × | 100000 7 |
| = | 431 15 | × | 1 7 |
We obtained :
| x | = | 431 105 |
Convert the result to decimal form :
| x | = | 4.104762 |