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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 20*3.14*0.7（x-20） = （2*3.14*0.1185*（560-x））/0.3365 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 20*3.14*0.7（x-20） = （2*3.14*0.1185*（560-x））/0.3365 .
Question type: Equation
Solution:Original question:
| 20 | × | 157 50 | × | 7 10 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 237 2000 | ( | 560 | − | x | ) | ) | ÷ | 673 2000 |
| Left side of the equation = | 1099 25 | ( | x | − | 20 | ) |
1099 25 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 237 2000 | ( | 560 | − | x | ) | ) | ÷ | 673 2000 |
| Left side of the equation = | 1099 25 | x | − | 1099 25 | × | 20 |
| = | 1099 25 | x | − | 4396 5 |
1099 25 | x | − | 4396 5 | = | ( | 2 | × | 157 50 | × | 237 2000 | ( | 560 | − | x | ) | ) | ÷ | 673 2000 |
| Right side of the equation = | 2 | × | 157 50 | × | 237 2000 | ( | 560 | − | x | ) | × | 2000 673 |
| = | 37209 16825 | ( | 560 | − | x | ) |
| = | 37209 16825 | × | 560 | − | 37209 16825 | x |
| = | 4167408 3365 | − | 37209 16825 | x |
1099 25 | x | − | 4396 5 | = | 4167408 3365 | − | 37209 16825 | x |
Transposition :
1099 25 | x | + | 37209 16825 | x | = | 4167408 3365 | + | 4396 5 |
Combine the items on the left of the equation:
776836 16825 | x | = | 4167408 3365 | + | 4396 5 |
Combine the items on the right of the equation:
776836 16825 | x | = | 7125916 3365 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7125916 3365 | ÷ | 776836 16825 |
| = | 7125916 3365 | × | 16825 776836 |
| = | 11347 673 | × | 3365 1237 |
We obtained :
| x | = | 38182655 832501 |
By reducing fraction, we can get:
| x | = | 56735 1237 |
Convert the result to decimal form :
| x | = | 45.864996 |