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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 45*2.43/100*0.04*x+0.02*45 = 2.43/100*0.04*(1-x)*1820 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
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.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 45*2.43/100*0.04*x+0.02*45 = 2.43/100*0.04*(1-x)*1820 .
Question type: Equation
Solution:Original question:
| 45 | × | 243 100 | ÷ | 100 | × | 1 25 | x | + | 1 50 | × | 45 | = | 243 100 | ÷ | 100 | × | 1 25 | ( | 1 | − | x | ) | × | 1820 |
| Left side of the equation = | 2187 50000 | x | + | 9 10 |
2187 50000 | x | + | 9 10 | = | 243 100 | ÷ | 100 | × | 1 25 | ( | 1 | − | x | ) | × | 1820 |
| Right side of the equation = | 22113 12500 | ( | 1 | − | x | ) |
2187 50000 | x | + | 9 10 | = | 22113 12500 | ( | 1 | − | x | ) |
| Right side of the equation = | 22113 12500 | × | 1 | − | 22113 12500 | x |
| = | 22113 12500 | − | 22113 12500 | x |
2187 50000 | x | + | 9 10 | = | 22113 12500 | − | 22113 12500 | x |
Transposition :
2187 50000 | x | + | 22113 12500 | x | = | 22113 12500 | − | 9 10 |
Combine the items on the left of the equation:
90639 50000 | x | = | 22113 12500 | − | 9 10 |
Combine the items on the right of the equation:
90639 50000 | x | = | 10863 12500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10863 12500 | ÷ | 90639 50000 |
| = | 10863 12500 | × | 50000 90639 |
| = | 1207 | × | 4 10071 |
We obtained :
| x | = | 4828 10071 |
Convert the result to decimal form :
| x | = | 0.479396 |