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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））/0.1823 .
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））/0.1823 .
Question type: Equation
Solution:Original question:
| 20 | × | 157 50 | × | 7 10 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 1099 25 | ( | x | − | 20 | ) |
1099 25 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 1823 10000 |
| 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 | ) | ) | ÷ | 1823 10000 |
| Right side of the equation = | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | × | 10000 1823 |
| = | 46158 9115 | ( | 560 | − | x | ) |
| = | 46158 9115 | × | 560 | − | 46158 9115 | x |
| = | 5169696 1823 | − | 46158 9115 | x |
1099 25 | x | − | 4396 5 | = | 5169696 1823 | − | 46158 9115 | x |
Transposition :
1099 25 | x | + | 46158 9115 | x | = | 5169696 1823 | + | 4396 5 |
Combine the items on the left of the equation:
2234267 45575 | x | = | 5169696 1823 | + | 4396 5 |
Combine the items on the right of the equation:
2234267 45575 | x | = | 33862388 9115 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 33862388 9115 | ÷ | 2234267 45575 |
| = | 33862388 9115 | × | 45575 2234267 |
| = | 30812 1823 | × | 9115 2033 |
We obtained :
| x | = | 280851380 3706159 |
By reducing fraction, we can get:
| x | = | 154060 2033 |
Convert the result to decimal form :
| x | = | 75.779636 |