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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 5.627 = h*1471/(h+0.622) .
Question type: Equation
Solution:Original question:
5627 1000 | = | h | × | 1471 | ÷ | ( | h | + | 311 500 | ) |
| Multiply both sides of the equation by: | ( | h | + | 311 500 | ) |
5627 1000 | ( | h | + | 311 500 | ) | = | h | × | 1471 |
5627 1000 | h | + | 5627 1000 | × | 311 500 | = | h | × | 1471 |
5627 1000 | h | + | 1749997 500000 | = | h | × | 1471 |
Transposition :
5627 1000 | h | − | 1471 | h | = | - | 1749997 500000 |
Combine the items on the left of the equation:
| - | 1465373 1000 | h | = | - | 1749997 500000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1749997 500000 | = | 1465373 1000 | h |
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 :
1465373 1000 | h | = | 1749997 500000 |
The coefficient of the unknown number is reduced to 1 :
| h | = | 1749997 500000 | ÷ | 1465373 1000 |
| = | 1749997 500000 | × | 1000 1465373 |
| = | 1749997 500 | × | 1 1465373 |
We obtained :
| h | = | 1749997 732686500 |
Convert the result to decimal form :
| h | = | 0.002388 |