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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 2083*x = 0.59*(2083*x+(117.5-x)*786) .
Question type: Equation
Solution:Original question:
| 2083 | x | = | 59 100 | ( | 2083 | x | + | ( | 235 2 | − | x | ) | × | 786 | ) |
| Right side of the equation = | 59 100 | × | 2083 | x | + | 59 100 | ( | 235 2 | − | x | ) | × | 786 |
| = | 122897 100 | x | + | 23187 50 | ( | 235 2 | − | x | ) |
| = | 122897 100 | x | + | 23187 50 | × | 235 2 | − | 23187 50 | x |
| = | 122897 100 | x | + | 1089789 20 | − | 23187 50 | x |
| = | 76523 100 | x | + | 1089789 20 |
| 2083 | x | = | 76523 100 | x | + | 1089789 20 |
Transposition :
| 2083 | x | − | 76523 100 | x | = | 1089789 20 |
Combine the items on the left of the equation:
131777 100 | x | = | 1089789 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1089789 20 | ÷ | 131777 100 |
| = | 1089789 20 | × | 100 131777 |
| = | 1089789 | × | 5 131777 |
We obtained :
| x | = | 5448945 131777 |
Convert the result to decimal form :
| x | = | 41.349742 |