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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 311.5/30*x+127.5/30*(x+15)+90/30(x+30) = 1120 .
Question type: Equation
Solution:Original question:
623 2 | ÷ | 30 | × | x | + | 255 2 | ÷ | 30 | × | ( | x | + | 15 | ) | + | 90 | ÷ | 30 | × | ( | x | + | 30 | ) | = | 1120 |
| Left side of the equation = | 623 60 | x | + | 17 4 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
623 60 | x | + | 17 4 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1120 |
| Left side of the equation = | 623 60 | x | + | 17 4 | x | + | 17 4 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 623 60 | x | + | 17 4 | x | + | 255 4 | + | 3 | ( | x | + | 30 | ) |
| = | 439 30 | x | + | 255 4 | + | 3 | ( | x | + | 30 | ) |
| = | 439 30 | x | + | 255 4 | + | 3 | x | + | 3 | × | 30 |
| = | 439 30 | x | + | 255 4 | + | 3 | x | + | 90 |
| = | 529 30 | x | + | 615 4 |
529 30 | x | + | 615 4 | = | 1120 |
Transposition :
529 30 | x | = | 1120 | − | 615 4 |
Combine the items on the right of the equation:
529 30 | x | = | 3865 4 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3865 4 | ÷ | 529 30 |
| = | 3865 4 | × | 30 529 |
| = | 3865 2 | × | 15 529 |
We obtained :
| x | = | 57975 1058 |
Convert the result to decimal form :
| x | = | 54.796786 |