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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 （10/22.4）×（890.3x+（1-x）×1559.8） = 480 .
Question type: Equation
Solution:Original question:
| ( | 10 | ÷ | 112 5 | ) | ( | 8903 10 | x | + | ( | 1 | − | x | ) | × | 7799 5 | ) | = | 480 |
| Left side of the equation = | 10 | ÷ | 112 5 | × | ( | 8903 10 | x | + | ( | 1 | − | x | ) | × | 7799 5 | ) |
| = | 25 56 | ( | 8903 10 | x | + | ( | 1 | − | x | ) | × | 7799 5 | ) |
| = | 25 56 | × | 8903 10 | x | + | 25 56 | ( | 1 | − | x | ) | × | 7799 5 |
| = | 44515 112 | x | + | 38995 56 | ( | 1 | − | x | ) |
| = | 44515 112 | x | + | 38995 56 | × | 1 | − | 38995 56 | x |
| = | 44515 112 | x | + | 38995 56 | − | 38995 56 | x |
| = | - | 33475 112 | x | + | 38995 56 |
| - | 33475 112 | x | + | 38995 56 | = | 480 |
Transposition :
| - | 33475 112 | x | = | 480 | − | 38995 56 |
Combine the items on the right of the equation:
| - | 33475 112 | x | = | - | 12115 56 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
12115 56 | = | 33475 112 | 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 :
33475 112 | x | = | 12115 56 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 12115 56 | ÷ | 33475 112 |
| = | 12115 56 | × | 112 33475 |
| = | 2423 | × | 2 6695 |
We obtained :
| x | = | 4846 6695 |
Convert the result to decimal form :
| x | = | 0.723824 |