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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 9*(1+x) = 6.5*(1.265+x) .
Question type: Equation
Solution:Original question:
| 9 | ( | 1 | + | x | ) | = | 13 2 | ( | 253 200 | + | x | ) |
| Left side of the equation = | 9 | × | 1 | + | 9 | x |
| = | 9 | + | 9 | x |
| 9 | + | 9 | x | = | 13 2 | ( | 253 200 | + | x | ) |
| Right side of the equation = | 13 2 | × | 253 200 | + | 13 2 | x |
| = | 3289 400 | + | 13 2 | x |
| 9 | + | 9 | x | = | 3289 400 | + | 13 2 | x |
Transposition :
| 9 | x | − | 13 2 | x | = | 3289 400 | − | 9 |
Combine the items on the left of the equation:
5 2 | x | = | 3289 400 | − | 9 |
Combine the items on the right of the equation:
5 2 | x | = | - | 311 400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 311 400 | ÷ | 5 2 |
| = | - | 311 400 | × | 2 5 |
| = | - | 311 200 | × | 1 5 |
We obtained :
| x | = | - | 311 1000 |
Convert the result to decimal form :
| x | = | - 0.311 |