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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 353.5/31*x+124/31*(x+15)+93/31(x+30) = 1184 .
Question type: Equation
Solution:Original question:
707 2 | ÷ | 31 | × | x | + | 124 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 93 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1184 |
| Left side of the equation = | 707 62 | x | + | 4 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
707 62 | x | + | 4 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1184 |
| Left side of the equation = | 707 62 | x | + | 4 | x | + | 4 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 707 62 | x | + | 4 | x | + | 60 | + | 3 | ( | x | + | 30 | ) |
| = | 955 62 | x | + | 60 | + | 3 | ( | x | + | 30 | ) |
| = | 955 62 | x | + | 60 | + | 3 | x | + | 3 | × | 30 |
| = | 955 62 | x | + | 60 | + | 3 | x | + | 90 |
| = | 1141 62 | x | + | 150 |
1141 62 | x | + | 150 | = | 1184 |
Transposition :
1141 62 | x | = | 1184 | − | 150 |
Combine the items on the right of the equation:
1141 62 | x | = | 1034 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1034 | ÷ | 1141 62 |
| = | 1034 | × | 62 1141 |
We obtained :
| x | = | 64108 1141 |
Convert the result to decimal form :
| x | = | 56.185802 |