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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 1.03*63.5+30+x+10+(1.03*63.5+30+x+10)*0.15 = 227.58859375 .
Question type: Equation
Solution:Original question:
103 100 | × | 127 2 | + | 30 | + | x | + | 10 | + | ( | 103 100 | × | 127 2 | + | 30 | + | x | + | 10 | ) | × | 3 20 | = | 1456567 6400 |
| Left side of the equation = | 13081 200 | + | 30 | + | x | + | 10 | + | ( | 103 100 | × | 127 2 | + | 30 | + | x | + | 10 | ) | × | 3 20 |
| = | 21081 200 | + | x | + | ( | 103 100 | × | 127 2 | + | 30 | + | x | + | 10 | ) | × | 3 20 |
21081 200 | + | x | + | ( | 103 100 | × | 127 2 | + | 30 | + | x | + | 10 | ) | × | 3 20 | = | 1456567 6400 |
| Left side of the equation = | 21081 200 | + | x | + | 103 100 | × | 127 2 | × | 3 20 | + | 30 | × | 3 20 | + | x | × | 3 20 | + | 10 | × | 3 20 |
| = | 21081 200 | + | x | + | 39243 4000 | + | 9 2 | + | x | × | 3 20 | + | 3 2 |
| = | 484863 4000 | + | 23 20 | x |
484863 4000 | + | 23 20 | x | = | 1456567 6400 |
Transposition :
23 20 | x | = | 1456567 6400 | − | 484863 4000 |
Combine the items on the right of the equation:
23 20 | x | = | 3403931 32000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3403931 32000 | ÷ | 23 20 |
| = | 3403931 32000 | × | 20 23 |
| = | 147997 1600 | × | 1 |
We obtained :
| x | = | 147997 1600 |
Convert the result to decimal form :
| x | = | 92.498125 |