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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 3.14×(x−10) = 3.14×9×(x−14) .
Question type: Equation
Solution:Original question:
157 50 | ( | x | − | 10 | ) | = | 157 50 | × | 9 | ( | x | − | 14 | ) |
| Left side of the equation = | 157 50 | x | − | 157 50 | × | 10 |
| = | 157 50 | x | − | 157 5 |
157 50 | x | − | 157 5 | = | 157 50 | × | 9 | ( | x | − | 14 | ) |
| Right side of the equation = | 1413 50 | ( | x | − | 14 | ) |
157 50 | x | − | 157 5 | = | 1413 50 | ( | x | − | 14 | ) |
| Right side of the equation = | 1413 50 | x | − | 1413 50 | × | 14 |
| = | 1413 50 | x | − | 9891 25 |
157 50 | x | − | 157 5 | = | 1413 50 | x | − | 9891 25 |
Transposition :
157 50 | x | − | 1413 50 | x | = | - | 9891 25 | + | 157 5 |
Combine the items on the left of the equation:
| - | 628 25 | x | = | - | 9891 25 | + | 157 5 |
Combine the items on the right of the equation:
| - | 628 25 | x | = | - | 9106 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9106 25 | = | 628 25 | 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 :
628 25 | x | = | 9106 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9106 25 | ÷ | 628 25 |
| = | 9106 25 | × | 25 628 |
| = | 4553 | × | 1 314 |
We obtained :
| x | = | 4553 314 |
By reducing fraction, we can get:
| x | = | 29 2 |
Convert the result to decimal form :
| x | = | 14.5 |