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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 89 = x/(x+(1-x)*0.851) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 89 = x/(x+(1-x)*0.851) .
Question type: Equation
Solution:Original question:
| 89 | = | x | ÷ | ( | x | + | ( | 1 | − | x | ) | × | 851 1000 | ) |
| Multiply both sides of the equation by: | ( | x | + | ( | 1 | − | x | ) | × | 851 1000 | ) |
| 89 | ( | x | + | ( | 1 | − | x | ) | × | 851 1000 | ) | = | x |
| 89 | x | + | 89 | ( | 1 | − | x | ) | × | 851 1000 | = | x |
| 89 | x | + | 75739 1000 | ( | 1 | − | x | ) | = | x |
| 89 | x | + | 75739 1000 | × | 1 | − | 75739 1000 | x | = | x |
| 89 | x | + | 75739 1000 | − | 75739 1000 | x | = | x |
13261 1000 | x | + | 75739 1000 | = | x |
Transposition :
13261 1000 | x | − | x | = | - | 75739 1000 |
Combine the items on the left of the equation:
12261 1000 | x | = | - | 75739 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 75739 1000 | ÷ | 12261 1000 |
| = | - | 75739 1000 | × | 1000 12261 |
| = | - | 75739 | × | 1 12261 |
We obtained :
| x | = | - | 75739 12261 |
Convert the result to decimal form :
| x | = | - 6.177229 |