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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 11.69*3.14*0.6（x-20） = （2*3.14*0.069*（170-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.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 11.69*3.14*0.6（x-20） = （2*3.14*0.069*（170-x））/0.1823 .
Question type: Equation
Solution:Original question:
1169 100 | × | 157 50 | × | 3 5 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 69 1000 | ( | 170 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 550599 25000 | ( | x | − | 20 | ) |
550599 25000 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 69 1000 | ( | 170 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 550599 25000 | x | − | 550599 25000 | × | 20 |
| = | 550599 25000 | x | − | 550599 1250 |
550599 25000 | x | − | 550599 1250 | = | ( | 2 | × | 157 50 | × | 69 1000 | ( | 170 | − | x | ) | ) | ÷ | 1823 10000 |
| Right side of the equation = | 2 | × | 157 50 | × | 69 1000 | ( | 170 | − | x | ) | × | 10000 1823 |
| = | 21666 9115 | ( | 170 | − | x | ) |
| = | 21666 9115 | × | 170 | − | 21666 9115 | x |
| = | 736644 1823 | − | 21666 9115 | x |
550599 25000 | x | − | 550599 1250 | = | 736644 1823 | − | 21666 9115 | x |
Transposition :
550599 25000 | x | + | 21666 9115 | x | = | 736644 1823 | + | 550599 1250 |
Combine the items on the left of the equation:
1112071977 45575000 | x | = | 736644 1823 | + | 550599 1250 |
Combine the items on the right of the equation:
1112071977 45575000 | x | = | 1924546977 2278750 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1924546977 2278750 | ÷ | 1112071977 45575000 |
| = | 1924546977 2278750 | × | 45575000 1112071977 |
| = | 1362029 1823 | × | 36460 787029 |
We obtained :
| x | = | 49659577340 1434753867 |