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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 x*403.3+(6.5-x)*424.3 = 217.9*6.5+614.315+315.273 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
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 x*403.3+(6.5-x)*424.3 = 217.9*6.5+614.315+315.273 .
Question type: Equation
Solution:Original question:
| x | × | 4033 10 | + | ( | 13 2 | − | x | ) | × | 4243 10 | = | 2179 10 | × | 13 2 | + | 122863 200 | + | 315273 1000 |
| Left side of the equation = | 4033 10 | x | + | 13 2 | × | 4243 10 | − | x | × | 4243 10 |
| = | 4033 10 | x | + | 55159 20 | − | x | × | 4243 10 |
| = | - | 21 | x | + | 55159 20 |
| - | 21 | x | + | 55159 20 | = | 2179 10 | × | 13 2 | + | 122863 200 | + | 315273 1000 |
| Right side of the equation = | 28327 20 | + | 122863 200 | + | 315273 1000 |
| = | 1172969 500 |
| - | 21 | x | + | 55159 20 | = | 1172969 500 |
Transposition :
| - | 21 | x | = | 1172969 500 | − | 55159 20 |
Combine the items on the right of the equation:
| - | 21 | x | = | - | 103003 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
103003 250 | = | 21 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
| 21 | x | = | 103003 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 103003 250 | ÷ | 21 |
| = | 103003 250 | × | 1 21 |
We obtained :
| x | = | 103003 5250 |
Convert the result to decimal form :
| x | = | 19.619619 |