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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 x = 96.7×(0.149×x+0.851) .
Question type: Equation
Solution:Original question:
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
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 x = 96.7×(0.149×x+0.851) .
Question type: Equation
Solution:Original question:
| x | = | 967 10 | ( | 149 1000 | x | + | 851 1000 | ) |
| Right side of the equation = | 967 10 | × | 149 1000 | x | + | 967 10 | × | 851 1000 |
| = | 144083 10000 | x | + | 822917 10000 |
| x | = | 144083 10000 | x | + | 822917 10000 |
Transposition :
| x | − | 144083 10000 | x | = | 822917 10000 |
Combine the items on the left of the equation:
| - | 134083 10000 | x | = | 822917 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 822917 10000 | = | 134083 10000 | 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 :
134083 10000 | x | = | - | 822917 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 822917 10000 | ÷ | 134083 10000 |
| = | - | 822917 10000 | × | 10000 134083 |
| = | - | 822917 | × | 1 134083 |
We obtained :
| x | = | - | 822917 134083 |
Convert the result to decimal form :
| x | = | - 6.13737 |