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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 33.4 = 21.9+0.02/(0.02+0.98x)*33.5 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right 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 33.4 = 21.9+0.02/(0.02+0.98x)*33.5 .
Question type: Equation
Solution:Original question:
167 5 | = | 219 10 | + | 1 50 | ÷ | ( | 1 50 | + | 49 50 | x | ) | × | 67 2 |
| Multiply both sides of the equation by: | ( | 1 50 | + | 49 50 | x | ) |
167 5 | ( | 1 50 | + | 49 50 | x | ) | = | 219 10 | ( | 1 50 | + | 49 50 | x | ) | + | 1 50 | × | 67 2 |
167 5 | × | 1 50 | + | 167 5 | × | 49 50 | x | = | 219 10 | ( | 1 50 | + | 49 50 | x | ) | + | 1 50 | × | 67 2 |
167 5 | × | 1 50 | + | 167 5 | × | 49 50 | x | = | 219 10 | × | 1 50 | + | 219 10 | × | 49 50 | x | + | 1 50 | × | 67 2 |
167 250 | + | 8183 250 | x | = | 219 500 | + | 10731 500 | x | + | 67 100 |
167 250 | + | 8183 250 | x | = | 277 250 | + | 10731 500 | x |
Transposition :
8183 250 | x | − | 10731 500 | x | = | 277 250 | − | 167 250 |
Combine the items on the left of the equation:
1127 100 | x | = | 277 250 | − | 167 250 |
Combine the items on the right of the equation:
1127 100 | x | = | 11 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 11 25 | ÷ | 1127 100 |
| = | 11 25 | × | 100 1127 |
| = | 11 | × | 4 1127 |
We obtained :
| x | = | 44 1127 |
Convert the result to decimal form :
| x | = | 0.039042 |