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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×(3.5+x) .
Question type: Equation
Solution:Original question:
1311 100 | x | = | 399 50 | ( | 7 2 | + | x | ) |
| Right side of the equation = | 399 50 | × | 7 2 | + | 399 50 | x |
| = | 2793 100 | + | 399 50 | x |
1311 100 | x | = | 2793 100 | + | 399 50 | x |
Transposition :
1311 100 | x | − | 399 50 | x | = | 2793 100 |
Combine the items on the left of the equation:
513 100 | x | = | 2793 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2793 100 | ÷ | 513 100 |
| = | 2793 100 | × | 100 513 |
| = | 931 | × | 1 171 |
We obtained :
| x | = | 931 171 |
By reducing fraction, we can get:
| x | = | 49 9 |
Convert the result to decimal form :
| x | = | 5.444444 |