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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 284/31*x+170.5/31*(x+15)+86.5/31(x+30) = 1277 .
Question type: Equation
Solution:Original question:
| 284 | ÷ | 31 | × | x | + | 341 2 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 173 2 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1277 |
| Left side of the equation = | 284 31 | x | + | 11 2 | ( | x | + | 15 | ) | + | 173 62 | ( | x | + | 30 | ) |
284 31 | x | + | 11 2 | ( | x | + | 15 | ) | + | 173 62 | ( | x | + | 30 | ) | = | 1277 |
| Left side of the equation = | 284 31 | x | + | 11 2 | x | + | 11 2 | × | 15 | + | 173 62 | ( | x | + | 30 | ) |
| = | 284 31 | x | + | 11 2 | x | + | 165 2 | + | 173 62 | ( | x | + | 30 | ) |
| = | 909 62 | x | + | 165 2 | + | 173 62 | ( | x | + | 30 | ) |
| = | 909 62 | x | + | 165 2 | + | 173 62 | x | + | 173 62 | × | 30 |
| = | 909 62 | x | + | 165 2 | + | 173 62 | x | + | 2595 31 |
| = | 541 31 | x | + | 10305 62 |
541 31 | x | + | 10305 62 | = | 1277 |
Transposition :
541 31 | x | = | 1277 | − | 10305 62 |
Combine the items on the right of the equation:
541 31 | x | = | 68869 62 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 68869 62 | ÷ | 541 31 |
| = | 68869 62 | × | 31 541 |
| = | 68869 2 | × | 1 541 |
We obtained :
| x | = | 68869 1082 |
Convert the result to decimal form :
| x | = | 63.649723 |