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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*0.6（x-20） = （2*3.14*0.125*（450-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*0.6（x-20） = （2*3.14*0.125*（450-x））/0.1823 .
Question type: Equation
Solution:Original question:
| 20 | × | 157 50 | × | 3 5 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 1 8 | ( | 450 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 942 25 | ( | x | − | 20 | ) |
942 25 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 1 8 | ( | 450 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 942 25 | x | − | 942 25 | × | 20 |
| = | 942 25 | x | − | 3768 5 |
942 25 | x | − | 3768 5 | = | ( | 2 | × | 157 50 | × | 1 8 | ( | 450 | − | x | ) | ) | ÷ | 1823 10000 |
| Right side of the equation = | 2 | × | 157 50 | × | 1 8 | ( | 450 | − | x | ) | × | 10000 1823 |
| = | 7850 1823 | ( | 450 | − | x | ) |
| = | 7850 1823 | × | 450 | − | 7850 1823 | x |
| = | 3532500 1823 | − | 7850 1823 | x |
942 25 | x | − | 3768 5 | = | 3532500 1823 | − | 7850 1823 | x |
Transposition :
942 25 | x | + | 7850 1823 | x | = | 3532500 1823 | + | 3768 5 |
Combine the items on the left of the equation:
1913516 45575 | x | = | 3532500 1823 | + | 3768 5 |
Combine the items on the right of the equation:
1913516 45575 | x | = | 24531564 9115 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 24531564 9115 | ÷ | 1913516 45575 |
| = | 24531564 9115 | × | 45575 1913516 |
| = | 39063 1823 | × | 9115 3047 |
We obtained :
| x | = | 356059245 5554681 |
By reducing fraction, we can get:
| x | = | 195315 3047 |
Convert the result to decimal form :
| x | = | 64.100755 |