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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 1.845 = 5+3.3*（1+x）(1-0.768/2.613)*1.845/2.613 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right 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 1.845 = 5+3.3*（1+x）(1-0.768/2.613)*1.845/2.613 .
Question type: Equation
Solution:Original question:
369 200 | = | 5 | + | 33 10 | ( | 1 | + | x | ) | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | × | 369 200 | ÷ | 2613 1000 |
| Right side of the equation = | 5 | + | 4059 1742 | ( | 1 | + | x | ) | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) |
369 200 | = | 5 | + | 4059 1742 | ( | 1 | + | x | ) | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) |
| Right side of the equation = | 5 | + | 4059 1742 | × | 1 | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | + | 4059 1742 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) |
| = | 5 | + | 4059 1742 | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) | + | 4059 1742 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) |
| = | 5 | + | 4059 1742 | × | 1 | − | 4059 1742 | × | 96 125 | ÷ | 2613 1000 | + | 4059 1742 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) |
| = | 5 | + | 4059 1742 | − | 519552 758641 | + | 4059 1742 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) |
| = | 10082695 1517282 | + | 4059 1742 | x | ( | 1 | − | 96 125 | ÷ | 2613 1000 | ) |
| = | 10082695 1517282 | + | 4059 1742 | x | × | 1 | − | 4059 1742 | x | × | 96 125 | ÷ | 2613 1000 |
| = | 10082695 1517282 | + | 4059 1742 | x | − | 519552 758641 | x |
| = | 10082695 1517282 | + | 2496285 1517282 | x |
369 200 | = | 10082695 1517282 | + | 2496285 1517282 | x |
Transposition :
| - | 2496285 1517282 | x | = | 10082695 1517282 | − | 369 200 |
Combine the items on the right of the equation:
| - | 2496285 1517282 | x | = | 728330971 151728200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 728330971 151728200 | = | 2496285 1517282 | 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 :
2496285 1517282 | x | = | - | 728330971 151728200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 728330971 151728200 | ÷ | 2496285 1517282 |
| = | - | 728330971 151728200 | × | 1517282 2496285 |
| = | - | 728330971 100 | × | 1 2496285 |
We obtained :
| x | = | - | 728330971 249628500 |
Convert the result to decimal form :
| x | = | - 2.91766 |