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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 11.63*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 11.63*3.14*0.6（x-20） = （2*3.14*0.069*（170-x））/0.1823 .
Question type: Equation
Solution:Original question:
1163 100 | × | 157 50 | × | 3 5 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 69 1000 | ( | 170 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 547773 25000 | ( | x | − | 20 | ) |
547773 25000 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 69 1000 | ( | 170 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 547773 25000 | x | − | 547773 25000 | × | 20 |
| = | 547773 25000 | x | − | 547773 1250 |
547773 25000 | x | − | 547773 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 |
547773 25000 | x | − | 547773 1250 | = | 736644 1823 | − | 21666 9115 | x |
Transposition :
547773 25000 | x | + | 21666 9115 | x | = | 736644 1823 | + | 547773 1250 |
Combine the items on the left of the equation:
1106920179 45575000 | x | = | 736644 1823 | + | 547773 1250 |
Combine the items on the right of the equation:
1106920179 45575000 | x | = | 1919395179 2278750 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1919395179 2278750 | ÷ | 1106920179 45575000 |
| = | 1919395179 2278750 | × | 45575000 1106920179 |
| = | 1358383 1823 | × | 36460 783383 |
We obtained :
| x | = | 49526644180 1428107209 |