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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 (1-x)*0.2243+x*8.7794 = 6.5894 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (1-x)*0.2243+x*8.7794 = 6.5894 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | x | ) | × | 2243 10000 | + | x | × | 43897 5000 | = | 32947 5000 |
| Left side of the equation = | 1 | × | 2243 10000 | − | x | × | 2243 10000 | + | 43897 5000 | x |
| = | 2243 10000 | − | x | × | 2243 10000 | + | 43897 5000 | x |
| = | 2243 10000 | + | 85551 10000 | x |
2243 10000 | + | 85551 10000 | x | = | 32947 5000 |
Transposition :
85551 10000 | x | = | 32947 5000 | − | 2243 10000 |
Combine the items on the right of the equation:
85551 10000 | x | = | 63651 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 63651 10000 | ÷ | 85551 10000 |
| = | 63651 10000 | × | 10000 85551 |
| = | 21217 | × | 1 28517 |
We obtained :
| x | = | 21217 28517 |
Convert the result to decimal form :
| x | = | 0.744012 |