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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 (0.007*2.016+0.5*x)/(2.016+x)-0.009 = 0 .
Question type: Equation
Solution:Original question:
| ( | 7 1000 | × | 252 125 | + | 1 2 | x | ) | ÷ | ( | 252 125 | + | x | ) | − | 9 1000 | = | 0 |
| Multiply both sides of the equation by: | ( | 252 125 | + | x | ) |
| ( | 7 1000 | × | 252 125 | + | 1 2 | x | ) | − | 9 1000 | ( | 252 125 | + | x | ) | = | 0 |
7 1000 | × | 252 125 | + | 1 2 | x | − | 9 1000 | ( | 252 125 | + | x | ) | = | 0 |
441 31250 | + | 1 2 | x | − | 9 1000 | ( | 252 125 | + | x | ) | = | 0 |
441 31250 | + | 1 2 | x | − | 9 1000 | × | 252 125 | − | 9 1000 | x | = | 0 |
441 31250 | + | 1 2 | x | − | 567 31250 | − | 9 1000 | x | = | 0 |
| - | 63 15625 | + | 491 1000 | x | = | 0 |
Transposition :
491 1000 | x | = | 0 | + | 63 15625 |
Combine the items on the right of the equation:
491 1000 | x | = | 63 15625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 63 15625 | ÷ | 491 1000 |
| = | 63 15625 | × | 1000 491 |
| = | 63 125 | × | 8 491 |
We obtained :
| x | = | 504 61375 |
Convert the result to decimal form :
| x | = | 0.008212 |