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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) = 199.52 .
Question type: Equation
Solution:Original question:
13 100 | x | + | ( | x | × | 27 25 | + | 5 | ) | + | 3 20 | x | + | ( | 13 100 | x | × | 331 2000 | ) | = | 4988 25 |
| 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 | ) | = | 4988 25 |
| 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 | = | 4988 25 |
Transposition :
276303 200000 | x | = | 4988 25 | − | 5 |
Combine the items on the right of the equation:
276303 200000 | x | = | 4863 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4863 25 | ÷ | 276303 200000 |
| = | 4863 25 | × | 200000 276303 |
| = | 1621 | × | 8000 92101 |
We obtained :
| x | = | 12968000 92101 |
Convert the result to decimal form :
| x | = | 140.801946 |