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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 300.5/29*x+116/29*(x+15)+87/29(x+30) = 1023 .
Question type: Equation
Solution:Original question:
601 2 | ÷ | 29 | × | x | + | 116 | ÷ | 29 | × | ( | x | + | 15 | ) | + | 87 | ÷ | 29 | × | ( | x | + | 30 | ) | = | 1023 |
| Left side of the equation = | 601 58 | x | + | 4 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
601 58 | x | + | 4 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1023 |
| Left side of the equation = | 601 58 | x | + | 4 | x | + | 4 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 601 58 | x | + | 4 | x | + | 60 | + | 3 | ( | x | + | 30 | ) |
| = | 833 58 | x | + | 60 | + | 3 | ( | x | + | 30 | ) |
| = | 833 58 | x | + | 60 | + | 3 | x | + | 3 | × | 30 |
| = | 833 58 | x | + | 60 | + | 3 | x | + | 90 |
| = | 1007 58 | x | + | 150 |
1007 58 | x | + | 150 | = | 1023 |
Transposition :
1007 58 | x | = | 1023 | − | 150 |
Combine the items on the right of the equation:
1007 58 | x | = | 873 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 873 | ÷ | 1007 58 |
| = | 873 | × | 58 1007 |
We obtained :
| x | = | 50634 1007 |
Convert the result to decimal form :
| x | = | 50.282026 |