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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 5.815(X-20) = 0.138(438-X)/0.223143 .
Question type: Equation
Solution:Original question:
1163 200 | ( | X | − | 20 | ) | = | 69 500 | ( | 438 | − | X | ) | ÷ | 223143 1000000 |
| Left side of the equation = | 1163 200 | X | − | 1163 200 | × | 20 |
| = | 1163 200 | X | − | 1163 10 |
1163 200 | X | − | 1163 10 | = | 69 500 | ( | 438 | − | X | ) | ÷ | 223143 1000000 |
| Right side of the equation = | 46000 74381 | ( | 438 | − | X | ) |
1163 200 | X | − | 1163 10 | = | 46000 74381 | ( | 438 | − | X | ) |
| Right side of the equation = | 46000 74381 | × | 438 | − | 46000 74381 | X |
| = | 20148000 74381 | − | 46000 74381 | X |
1163 200 | X | − | 1163 10 | = | 20148000 74381 | − | 46000 74381 | X |
Transposition :
1163 200 | X | + | 46000 74381 | X | = | 20148000 74381 | + | 1163 10 |
Combine the items on the left of the equation:
95705103 14876200 | X | = | 20148000 74381 | + | 1163 10 |
Combine the items on the right of the equation:
95705103 14876200 | X | = | 287985103 743810 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 287985103 743810 | ÷ | 95705103 14876200 |
| = | 287985103 743810 | × | 14876200 95705103 |
| = | 287985103 74381 | × | 1487620 95705103 |
We obtained :
| X | = | 428412398924860 7118641266243 |