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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 = 0.0019(X+80) .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 40 | ÷ | 1333 | − | 40 | ÷ | 1650 | = | 19 10000 | ( | X | + | 80 | ) |
| Left side of the equation = | X | × | 1 87 | − | 40 1333 | − | 4 165 |
| = | 1 87 | X | − | 11932 219945 |
1 87 | X | − | 11932 219945 | = | 19 10000 | ( | X | + | 80 | ) |
| Right side of the equation = | 19 10000 | X | + | 19 10000 | × | 80 |
| = | 19 10000 | X | + | 19 125 |
1 87 | X | − | 11932 219945 | = | 19 10000 | X | + | 19 125 |
Transposition :
1 87 | X | − | 19 10000 | X | = | 19 125 | + | 11932 219945 |
Combine the items on the left of the equation:
8347 870000 | X | = | 19 125 | + | 11932 219945 |
Combine the items on the right of the equation:
8347 870000 | X | = | 1134091 5498625 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1134091 5498625 | ÷ | 8347 870000 |
| = | 1134091 5498625 | × | 870000 8347 |
| = | 1134091 14663 | × | 2320 8347 |
We obtained :
| X | = | 2631091120 122392061 |
Convert the result to decimal form :
| X | = | 21.497237 |