Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 0.493X/[1+1.493X] = 0.974 .
Question type: Equation
Solution:Original question:
493 1000 | X | ÷ | ( | 1 | + | 1493 1000 | X | ) | = | 487 500 |
| Multiply both sides of the equation by: | ( | 1 | + | 1493 1000 | X | ) |
493 1000 | X | = | 487 500 | ( | 1 | + | 1493 1000 | X | ) |
493 1000 | X | = | 487 500 | × | 1 | + | 487 500 | × | 1493 1000 | X |
493 1000 | X | = | 487 500 | + | 727091 500000 | X |
Transposition :
493 1000 | X | − | 727091 500000 | X | = | 487 500 |
Combine the items on the left of the equation:
| - | 480591 500000 | X | = | 487 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 487 500 | = | 480591 500000 | X |
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 :
480591 500000 | X | = | - | 487 500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 487 500 | ÷ | 480591 500000 |
| = | - | 487 500 | × | 500000 480591 |
| = | - | 487 | × | 1000 480591 |
We obtained :
| X | = | - | 487000 480591 |
Convert the result to decimal form :
| X | = | - 1.013336 |