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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 13.11x = 7.98×(3.2+x) .
Question type: Equation
Solution:Original question:
1311 100 | x | = | 399 50 | ( | 16 5 | + | x | ) |
| Right side of the equation = | 399 50 | × | 16 5 | + | 399 50 | x |
| = | 3192 125 | + | 399 50 | x |
1311 100 | x | = | 3192 125 | + | 399 50 | x |
Transposition :
1311 100 | x | − | 399 50 | x | = | 3192 125 |
Combine the items on the left of the equation:
513 100 | x | = | 3192 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3192 125 | ÷ | 513 100 |
| = | 3192 125 | × | 100 513 |
| = | 1064 5 | × | 4 171 |
We obtained :
| x | = | 4256 855 |
By reducing fraction, we can get:
| x | = | 224 45 |
Convert the result to decimal form :
| x | = | 4.977778 |