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 75*x/(75+100*x) = 0.529 .
Question type: Equation
Solution:Original question:
| 75 | x | ÷ | ( | 75 | + | 100 | x | ) | = | 529 1000 |
| Multiply both sides of the equation by: | ( | 75 | + | 100 | x | ) |
| 75 | x | = | 529 1000 | ( | 75 | + | 100 | x | ) |
| 75 | x | = | 529 1000 | × | 75 | + | 529 1000 | × | 100 | x |
| 75 | x | = | 1587 40 | + | 529 10 | x |
Transposition :
| 75 | x | − | 529 10 | x | = | 1587 40 |
Combine the items on the left of the equation:
221 10 | x | = | 1587 40 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1587 40 | ÷ | 221 10 |
| = | 1587 40 | × | 10 221 |
| = | 1587 4 | × | 1 221 |
We obtained :
| x | = | 1587 884 |
Convert the result to decimal form :
| x | = | 1.795249 |