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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 (1.128-x)*(50-49.3) = (x-1.093)*9.3 .
Question type: Equation
Solution:Original question:
| ( | 141 125 | − | x | ) | ( | 50 | − | 493 10 | ) | = | ( | x | − | 1093 1000 | ) | × | 93 10 |
| Left side of the equation = | 141 125 | ( | 50 | − | 493 10 | ) | − | x | ( | 50 | − | 493 10 | ) |
| = | 141 125 | × | 50 | − | 141 125 | × | 493 10 | − | x | ( | 50 | − | 493 10 | ) |
| = | 282 5 | − | 69513 1250 | − | x | ( | 50 | − | 493 10 | ) |
| = | 987 1250 | − | x | ( | 50 | − | 493 10 | ) |
| = | 987 1250 | − | x | × | 50 | + | x | × | 493 10 |
| = | 987 1250 | − | 7 10 | x |
987 1250 | − | 7 10 | x | = | ( | x | − | 1093 1000 | ) | × | 93 10 |
| Right side of the equation = | x | × | 93 10 | − | 1093 1000 | × | 93 10 |
| = | x | × | 93 10 | − | 101649 10000 |
987 1250 | − | 7 10 | x | = | 93 10 | x | − | 101649 10000 |
Transposition :
| - | 7 10 | x | − | 93 10 | x | = | - | 101649 10000 | − | 987 1250 |
Combine the items on the left of the equation:
| - | 10 | x | = | - | 101649 10000 | − | 987 1250 |
Combine the items on the right of the equation:
| - | 10 | x | = | - | 21909 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
21909 2000 | = | 10 | 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 :
| 10 | x | = | 21909 2000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 21909 2000 | ÷ | 10 |
| = | 21909 2000 | × | 1 10 |
We obtained :
| x | = | 21909 20000 |
Convert the result to decimal form :
| x | = | 1.09545 |