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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 (100+(a-1)*258)/19 = (a*258)/25 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
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 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 (100+(a-1)*258)/19 = (a*258)/25 .
Question type: Equation
Solution:Original question:
| ( | 100 | + | ( | a | − | 1 | ) | × | 258 | ) | ÷ | 19 | = | ( | a | × | 258 | ) | ÷ | 25 |
| Left side of the equation = | 100 | × | 1 19 | + | ( | a | − | 1 | ) | × | 258 | × | 1 19 |
| = | 100 19 | + | ( | a | − | 1 | ) | × | 258 19 |
| = | 100 19 | + | a | × | 258 19 | − | 1 | × | 258 19 |
| = | 100 19 | + | a | × | 258 19 | − | 258 19 |
| = | - | 158 19 | + | 258 19 | a |
| - | 158 19 | + | 258 19 | a | = | ( | a | × | 258 | ) | ÷ | 25 |
| Right side of the equation = | a | × | 258 | × | 1 25 |
| = | a | × | 258 25 |
| - | 158 19 | + | 258 19 | a | = | 258 25 | a |
Transposition :
258 19 | a | − | 258 25 | a | = | 158 19 |
Combine the items on the left of the equation:
1548 475 | a | = | 158 19 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 158 19 | ÷ | 1548 475 |
| = | 158 19 | × | 475 1548 |
| = | 79 | × | 25 774 |
We obtained :
| a | = | 1975 774 |
Convert the result to decimal form :
| a | = | 2.55168 |