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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/87-40/1333-40/1650 = 0.00143(X+80) .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 40 | ÷ | 1333 | − | 40 | ÷ | 1650 | = | 143 100000 | ( | X | + | 80 | ) |
| Left side of the equation = | X | × | 1 87 | − | 40 1333 | − | 4 165 |
| = | 1 87 | X | − | 11932 219945 |
1 87 | X | − | 11932 219945 | = | 143 100000 | ( | X | + | 80 | ) |
| Right side of the equation = | 143 100000 | X | + | 143 100000 | × | 80 |
| = | 143 100000 | X | + | 143 1250 |
1 87 | X | − | 11932 219945 | = | 143 100000 | X | + | 143 1250 |
Transposition :
1 87 | X | − | 143 100000 | X | = | 143 1250 | + | 11932 219945 |
Combine the items on the left of the equation:
87559 8700000 | X | = | 143 1250 | + | 11932 219945 |
Combine the items on the right of the equation:
87559 8700000 | X | = | 9273427 54986250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 9273427 54986250 | ÷ | 87559 8700000 |
| = | 9273427 54986250 | × | 8700000 87559 |
| = | 9273427 14663 | × | 2320 87559 |
We obtained :
| X | = | 21514350640 1283877617 |