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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 1.75*（2.3-x）*0.75*3.15 = 2.75*（0.85-2.3）*0.25*（2.3+x） .
Question type: Equation
Solution:Original question:
7 4 | ( | 23 10 | − | x | ) | × | 3 4 | × | 63 20 | = | 11 4 | ( | 17 20 | − | 23 10 | ) | × | 1 4 | ( | 23 10 | + | x | ) |
| Left side of the equation = | 1323 320 | ( | 23 10 | − | x | ) |
1323 320 | ( | 23 10 | − | x | ) | = | 11 4 | ( | 17 20 | − | 23 10 | ) | × | 1 4 | ( | 23 10 | + | x | ) |
| Left side of the equation = | 1323 320 | × | 23 10 | − | 1323 320 | x |
| = | 30429 3200 | − | 1323 320 | x |
30429 3200 | − | 1323 320 | x | = | 11 4 | ( | 17 20 | − | 23 10 | ) | × | 1 4 | ( | 23 10 | + | x | ) |
| Right side of the equation = | 11 16 | ( | 17 20 | − | 23 10 | ) | ( | 23 10 | + | x | ) |
30429 3200 | − | 1323 320 | x | = | 11 16 | ( | 17 20 | − | 23 10 | ) | ( | 23 10 | + | x | ) |
| Right side of the equation = | 11 16 | × | 17 20 | ( | 23 10 | + | x | ) | − | 11 16 | × | 23 10 | ( | 23 10 | + | x | ) |
| = | 187 320 | ( | 23 10 | + | x | ) | − | 253 160 | ( | 23 10 | + | x | ) |
| = | 187 320 | × | 23 10 | + | 187 320 | x | − | 253 160 | ( | 23 10 | + | x | ) |
| = | 4301 3200 | + | 187 320 | x | − | 253 160 | ( | 23 10 | + | x | ) |
| = | 4301 3200 | + | 187 320 | x | − | 253 160 | × | 23 10 | − | 253 160 | x |
| = | 4301 3200 | + | 187 320 | x | − | 5819 1600 | − | 253 160 | x |
| = | - | 7337 3200 | − | 319 320 | x |
30429 3200 | − | 1323 320 | x | = | - | 7337 3200 | − | 319 320 | x |
Transposition :
| - | 1323 320 | x | + | 319 320 | x | = | - | 7337 3200 | − | 30429 3200 |
Combine the items on the left of the equation:
| - | 251 80 | x | = | - | 7337 3200 | − | 30429 3200 |
Combine the items on the right of the equation:
| - | 251 80 | x | = | - | 18883 1600 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
18883 1600 | = | 251 80 | 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 :
251 80 | x | = | 18883 1600 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 18883 1600 | ÷ | 251 80 |
| = | 18883 1600 | × | 80 251 |
| = | 18883 20 | × | 1 251 |
We obtained :
| x | = | 18883 5020 |
Convert the result to decimal form :
| x | = | 3.761554 |