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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 354/30*x+155.5/30*(x+15)+90/30(x+30) = 918 .
Question type: Equation
Solution:Original question:
| 354 | ÷ | 30 | × | x | + | 311 2 | ÷ | 30 | × | ( | x | + | 15 | ) | + | 90 | ÷ | 30 | × | ( | x | + | 30 | ) | = | 918 |
| Left side of the equation = | 59 5 | x | + | 311 60 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
59 5 | x | + | 311 60 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 918 |
| Left side of the equation = | 59 5 | x | + | 311 60 | x | + | 311 60 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 59 5 | x | + | 311 60 | x | + | 311 4 | + | 3 | ( | x | + | 30 | ) |
| = | 1019 60 | x | + | 311 4 | + | 3 | ( | x | + | 30 | ) |
| = | 1019 60 | x | + | 311 4 | + | 3 | x | + | 3 | × | 30 |
| = | 1019 60 | x | + | 311 4 | + | 3 | x | + | 90 |
| = | 1199 60 | x | + | 671 4 |
1199 60 | x | + | 671 4 | = | 918 |
Transposition :
1199 60 | x | = | 918 | − | 671 4 |
Combine the items on the right of the equation:
1199 60 | x | = | 3001 4 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3001 4 | ÷ | 1199 60 |
| = | 3001 4 | × | 60 1199 |
| = | 3001 | × | 15 1199 |
We obtained :
| x | = | 45015 1199 |
Convert the result to decimal form :
| x | = | 37.543786 |