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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 209.53 = 42.01+24.93x+1/2(75.81-24.93)/4.8*x2 .
Question type: Equation
Solution:Original question:
20953 100 | = | 4201 100 | + | 2493 100 | x | + | 1 | ÷ | 2 | × | ( | 7581 100 | − | 2493 100 | ) | ÷ | 24 5 | × | x | × | 2 |
| Right side of the equation = | 4201 100 | + | 2493 100 | x | + | 5 24 | ( | 7581 100 | − | 2493 100 | ) | x |
20953 100 | = | 4201 100 | + | 2493 100 | x | + | 5 24 | ( | 7581 100 | − | 2493 100 | ) | x |
| Right side of the equation = | 4201 100 | + | 2493 100 | x | + | 5 24 | × | 7581 100 | x | − | 5 24 | × | 2493 100 | x |
| = | 4201 100 | + | 2493 100 | x | + | 2527 160 | x | − | 831 160 | x |
| = | 4201 100 | + | 3553 100 | x |
20953 100 | = | 4201 100 | + | 3553 100 | x |
Transposition :
| - | 3553 100 | x | = | 4201 100 | − | 20953 100 |
Combine the items on the right of the equation:
| - | 3553 100 | x | = | - | 4188 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4188 25 | = | 3553 100 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
3553 100 | x | = | 4188 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4188 25 | ÷ | 3553 100 |
| = | 4188 25 | × | 100 3553 |
| = | 4188 | × | 4 3553 |
We obtained :
| x | = | 16752 3553 |
Convert the result to decimal form :
| x | = | 4.714889 |