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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*0.147*（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*0.147*（560-x））/0.3365 .
Question type: Equation
Solution:Original question:
| 20 | × | 157 50 | × | 7 10 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 673 2000 |
| Left side of the equation = | 1099 25 | ( | x | − | 20 | ) |
1099 25 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 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 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 673 2000 |
| Right side of the equation = | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | × | 2000 673 |
| = | 46158 16825 | ( | 560 | − | x | ) |
| = | 46158 16825 | × | 560 | − | 46158 16825 | x |
| = | 5169696 3365 | − | 46158 16825 | x |
1099 25 | x | − | 4396 5 | = | 5169696 3365 | − | 46158 16825 | x |
Transposition :
1099 25 | x | + | 46158 16825 | x | = | 5169696 3365 | + | 4396 5 |
Combine the items on the left of the equation:
157157 3365 | x | = | 5169696 3365 | + | 4396 5 |
Combine the items on the right of the equation:
157157 3365 | x | = | 8128204 3365 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8128204 3365 | ÷ | 157157 3365 |
| = | 8128204 3365 | × | 3365 157157 |
| = | 1161172 673 | × | 673 22451 |
We obtained :
| x | = | 781468756 15109523 |
By reducing fraction, we can get:
| x | = | 4977508 96239 |
Convert the result to decimal form :
| x | = | 51.72028 |