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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 76.502×（40-x）0.75 = 26.863×（x-30） .
Question type: Equation
Solution:Original question:
38251 500 | ( | 40 | − | x | ) | × | 3 4 | = | 26863 1000 | ( | x | − | 30 | ) |
| Left side of the equation = | 114753 2000 | ( | 40 | − | x | ) |
114753 2000 | ( | 40 | − | x | ) | = | 26863 1000 | ( | x | − | 30 | ) |
| Left side of the equation = | 114753 2000 | × | 40 | − | 114753 2000 | x |
| = | 114753 50 | − | 114753 2000 | x |
114753 50 | − | 114753 2000 | x | = | 26863 1000 | ( | x | − | 30 | ) |
| Right side of the equation = | 26863 1000 | x | − | 26863 1000 | × | 30 |
| = | 26863 1000 | x | − | 80589 100 |
114753 50 | − | 114753 2000 | x | = | 26863 1000 | x | − | 80589 100 |
Transposition :
| - | 114753 2000 | x | − | 26863 1000 | x | = | - | 80589 100 | − | 114753 50 |
Combine the items on the left of the equation:
| - | 168479 2000 | x | = | - | 80589 100 | − | 114753 50 |
Combine the items on the right of the equation:
| - | 168479 2000 | x | = | - | 62019 20 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
62019 20 | = | 168479 2000 | 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 :
168479 2000 | x | = | 62019 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 62019 20 | ÷ | 168479 2000 |
| = | 62019 20 | × | 2000 168479 |
| = | 62019 | × | 100 168479 |
We obtained :
| x | = | 6201900 168479 |
Convert the result to decimal form :
| x | = | 36.811116 |