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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 100x-(x*0.13-2.25)*0.1*100 = 920.04+15*100 .
Question type: Equation
Solution:Original question:
| 100 | x | − | ( | x | × | 13 100 | − | 9 4 | ) | × | 1 10 | × | 100 | = | 23001 25 | + | 15 | × | 100 |
| Left side of the equation = | 100 | x | − | ( | x | × | 13 100 | − | 9 4 | ) | × | 10 |
| 100 | x | − | ( | x | × | 13 100 | − | 9 4 | ) | × | 10 | = | 23001 25 | + | 15 | × | 100 |
| Left side of the equation = | 100 | x | − | x | × | 13 100 | × | 10 | + | 9 4 | × | 10 |
| = | 100 | x | − | x | × | 13 10 | + | 45 2 |
| = | 987 10 | x | + | 45 2 |
987 10 | x | + | 45 2 | = | 23001 25 | + | 15 | × | 100 |
| Right side of the equation = | 23001 25 | + | 1500 |
| = | 60501 25 |
987 10 | x | + | 45 2 | = | 60501 25 |
Transposition :
987 10 | x | = | 60501 25 | − | 45 2 |
Combine the items on the right of the equation:
987 10 | x | = | 119877 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 119877 50 | ÷ | 987 10 |
| = | 119877 50 | × | 10 987 |
| = | 39959 5 | × | 1 329 |
We obtained :
| x | = | 39959 1645 |
Convert the result to decimal form :
| x | = | 24.291185 |