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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 0.13*x+(x*1.08+5)+0.15*x+(0.13*x*0.1655) = 87.89 .
Question type: Equation
Solution:Original question:
13 100 | x | + | ( | x | × | 27 25 | + | 5 | ) | + | 3 20 | x | + | ( | 13 100 | x | × | 331 2000 | ) | = | 8789 100 |
| Left side of the equation = | 7 25 | x | + | ( | x | × | 27 25 | + | 5 | ) | + | ( | 13 100 | x | × | 331 2000 | ) |
7 25 | x | + | ( | x | × | 27 25 | + | 5 | ) | + | ( | 13 100 | x | × | 331 2000 | ) | = | 8789 100 |
| Left side of the equation = | 7 25 | x | + | x | × | 27 25 | + | 5 | + | ( | 13 100 | x | × | 331 2000 | ) |
| = | 34 25 | x | + | 5 | + | ( | 13 100 | x | × | 331 2000 | ) |
| = | 34 25 | x | + | 5 | + | 13 100 | x | × | 331 2000 |
| = | 34 25 | x | + | 5 | + | 4303 200000 | x |
| = | 276303 200000 | x | + | 5 |
276303 200000 | x | + | 5 | = | 8789 100 |
Transposition :
276303 200000 | x | = | 8789 100 | − | 5 |
Combine the items on the right of the equation:
276303 200000 | x | = | 8289 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8289 100 | ÷ | 276303 200000 |
| = | 8289 100 | × | 200000 276303 |
| = | 2763 | × | 2000 92101 |
We obtained :
| x | = | 5526000 92101 |
Convert the result to decimal form :
| x | = | 59.999349 |