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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 x÷61.8+5/161.4 = (0.9975-x)×26/93 .
Question type: Equation
Solution:Original question:
| x | ÷ | 309 5 | + | 5 | ÷ | 807 5 | = | ( | 399 400 | − | x | ) | × | 26 | ÷ | 93 |
| Left side of the equation = | x | × | 5 309 | + | 25 807 |
5 309 | x | + | 25 807 | = | ( | 399 400 | − | x | ) | × | 26 | ÷ | 93 |
| Right side of the equation = | ( | 399 400 | − | x | ) | × | 26 93 |
5 309 | x | + | 25 807 | = | ( | 399 400 | − | x | ) | × | 26 93 |
| Right side of the equation = | 399 400 | × | 26 93 | − | x | × | 26 93 |
| = | 1729 6200 | − | x | × | 26 93 |
5 309 | x | + | 25 807 | = | 1729 6200 | − | 26 93 | x |
Transposition :
5 309 | x | + | 26 93 | x | = | 1729 6200 | − | 25 807 |
Combine the items on the left of the equation:
2833 9579 | x | = | 1729 6200 | − | 25 807 |
Combine the items on the right of the equation:
2833 9579 | x | = | 1240303 5003400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1240303 5003400 | ÷ | 2833 9579 |
| = | 1240303 5003400 | × | 9579 2833 |
| = | 1240303 53800 | × | 103 2833 |
We obtained :
| x | = | 127751209 152415400 |
Convert the result to decimal form :
| x | = | 0.838178 |