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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 (142.5+256)/31*x+155/31*(x+15)+124/31(x+30) = 1314 .
Question type: Equation
Solution:Original question:
| ( | 285 2 | + | 256 | ) | ÷ | 31 | × | x | + | 155 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 124 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1314 |
| Left side of the equation = | ( | 285 2 | + | 256 | ) | × | 1 31 | x | + | 5 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| ( | 285 2 | + | 256 | ) | × | 1 31 | x | + | 5 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) | = | 1314 |
| Left side of the equation = | 285 2 | × | 1 31 | x | + | 256 | × | 1 31 | x | + | 5 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 285 62 | x | + | 256 31 | x | + | 5 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 797 62 | x | + | 5 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 797 62 | x | + | 5 | x | + | 5 | × | 15 | + | 4 | ( | x | + | 30 | ) |
| = | 797 62 | x | + | 5 | x | + | 75 | + | 4 | ( | x | + | 30 | ) |
| = | 1107 62 | x | + | 75 | + | 4 | ( | x | + | 30 | ) |
| = | 1107 62 | x | + | 75 | + | 4 | x | + | 4 | × | 30 |
| = | 1107 62 | x | + | 75 | + | 4 | x | + | 120 |
| = | 1355 62 | x | + | 195 |
1355 62 | x | + | 195 | = | 1314 |
Transposition :
1355 62 | x | = | 1314 | − | 195 |
Combine the items on the right of the equation:
1355 62 | x | = | 1119 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1119 | ÷ | 1355 62 |
| = | 1119 | × | 62 1355 |
We obtained :
| x | = | 69378 1355 |
Convert the result to decimal form :
| x | = | 51.201476 |