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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 356/28*x+141.5/28(x+15)+84/28*(x+30) = 1228 .
Question type: Equation
Solution:Original question:
| 356 | ÷ | 28 | × | x | + | 283 2 | ÷ | 28 | × | ( | x | + | 15 | ) | + | 84 | ÷ | 28 | × | ( | x | + | 30 | ) | = | 1228 |
| Left side of the equation = | 89 7 | x | + | 283 56 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
89 7 | x | + | 283 56 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1228 |
| Left side of the equation = | 89 7 | x | + | 283 56 | x | + | 283 56 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 89 7 | x | + | 283 56 | x | + | 4245 56 | + | 3 | ( | x | + | 30 | ) |
| = | 995 56 | x | + | 4245 56 | + | 3 | ( | x | + | 30 | ) |
| = | 995 56 | x | + | 4245 56 | + | 3 | x | + | 3 | × | 30 |
| = | 995 56 | x | + | 4245 56 | + | 3 | x | + | 90 |
| = | 1163 56 | x | + | 9285 56 |
1163 56 | x | + | 9285 56 | = | 1228 |
Transposition :
1163 56 | x | = | 1228 | − | 9285 56 |
Combine the items on the right of the equation:
1163 56 | x | = | 59483 56 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 59483 56 | ÷ | 1163 56 |
| = | 59483 56 | × | 56 1163 |
| = | 59483 | × | 1 1163 |
We obtained :
| x | = | 59483 1163 |
Convert the result to decimal form :
| x | = | 51.146174 |