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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 161.5*7.91+13.1x = (161.5+x)*7.98 .
Question type: Equation
Solution:Original question:
323 2 | × | 791 100 | + | 131 10 | x | = | ( | 323 2 | + | x | ) | × | 399 50 |
| Left side of the equation = | 255493 200 | + | 131 10 | x |
255493 200 | + | 131 10 | x | = | ( | 323 2 | + | x | ) | × | 399 50 |
| Right side of the equation = | 323 2 | × | 399 50 | + | x | × | 399 50 |
| = | 128877 100 | + | x | × | 399 50 |
255493 200 | + | 131 10 | x | = | 128877 100 | + | 399 50 | x |
Transposition :
131 10 | x | − | 399 50 | x | = | 128877 100 | − | 255493 200 |
Combine the items on the left of the equation:
128 25 | x | = | 128877 100 | − | 255493 200 |
Combine the items on the right of the equation:
128 25 | x | = | 2261 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2261 200 | ÷ | 128 25 |
| = | 2261 200 | × | 25 128 |
| = | 2261 8 | × | 1 128 |
We obtained :
| x | = | 2261 1024 |
Convert the result to decimal form :
| x | = | 2.208008 |