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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 1/(1/150+1/510)*I-3 = (0.2-I)*8400/43 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) | × | I | − | 3 | = | ( | 1 5 | − | I | ) | × | 8400 | ÷ | 43 |
| Multiply both sides of the equation by: | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) |
| 1 | I | − | 3 | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) | = | ( | 1 5 | − | I | ) | × | 8400 | ÷ | 43 | × | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) |
| 1 | I | − | 3 | × | 1 | ÷ | 150 | − | 3 | × | 1 | ÷ | 510 | = | ( | 1 5 | − | I | ) | × | 8400 | ÷ | 43 | × | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) |
| 1 | I | − | 3 | × | 1 | ÷ | 150 | − | 3 | × | 1 | ÷ | 510 | = | 1 5 | × | 8400 | ÷ | 43 | × | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) | − | I | × | 8400 | ÷ | 43 | × | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) |
| 1 | I | − | 1 50 | − | 1 170 | = | 1680 43 | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) | − | I | × | 8400 43 | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) |
| 1 | I | − | 11 425 | = | 1680 43 | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) | − | I | × | 8400 43 | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) |
| 1 | I | − | 11 425 | = | 1680 43 | × | 1 | ÷ | 150 | + | 1680 43 | × | 1 | ÷ | 510 | − | I | × | 8400 43 | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) |
| 1 | I | − | 11 425 | = | 56 215 | + | 56 731 | − | I | × | 8400 43 | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) |
| 1 | I | − | 11 425 | = | 1232 3655 | − | I | × | 8400 43 | ( | 1 | ÷ | 150 | + | 1 | ÷ | 510 | ) |
| 1 | I | − | 11 425 | = | 1232 3655 | − | I | × | 8400 43 | × | 1 | ÷ | 150 | − | I | × | 8400 43 | × | 1 | ÷ | 510 |
| 1 | I | − | 11 425 | = | 1232 3655 | − | I | × | 56 43 | − | I | × | 280 731 |
| 1 | I | − | 11 425 | = | 1232 3655 | − | 1232 731 | I |
Transposition :
| 1 | I | + | 1232 731 | I | = | 1232 3655 | + | 11 425 |
Combine the items on the left of the equation:
1963 731 | I | = | 1232 3655 | + | 11 425 |
Combine the items on the right of the equation:
1963 731 | I | = | 6633 18275 |
The coefficient of the unknown number is reduced to 1 :
| I | = | 6633 18275 | ÷ | 1963 731 |
| = | 6633 18275 | × | 731 1963 |
| = | 6633 25 | × | 1 1963 |
We obtained :
| I | = | 6633 49075 |
Convert the result to decimal form :
| I | = | 0.13516 |