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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 0.10*x+(x*1.05+50)+0.15*x+(0.10*x*0.1655) = 270.66 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
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 0.10*x+(x*1.05+50)+0.15*x+(0.10*x*0.1655) = 270.66 .
Question type: Equation
Solution:Original question:
1 10 | x | + | ( | x | × | 21 20 | + | 50 | ) | + | 3 20 | x | + | ( | 1 10 | x | × | 331 2000 | ) | = | 13533 50 |
| Left side of the equation = | 1 4 | x | + | ( | x | × | 21 20 | + | 50 | ) | + | ( | 1 10 | x | × | 331 2000 | ) |
1 4 | x | + | ( | x | × | 21 20 | + | 50 | ) | + | ( | 1 10 | x | × | 331 2000 | ) | = | 13533 50 |
| Left side of the equation = | 1 4 | x | + | x | × | 21 20 | + | 50 | + | ( | 1 10 | x | × | 331 2000 | ) |
| = | 13 10 | x | + | 50 | + | ( | 1 10 | x | × | 331 2000 | ) |
| = | 13 10 | x | + | 50 | + | 1 10 | x | × | 331 2000 |
| = | 13 10 | x | + | 50 | + | 331 20000 | x |
| = | 26331 20000 | x | + | 50 |
26331 20000 | x | + | 50 | = | 13533 50 |
Transposition :
26331 20000 | x | = | 13533 50 | − | 50 |
Combine the items on the right of the equation:
26331 20000 | x | = | 11033 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 11033 50 | ÷ | 26331 20000 |
| = | 11033 50 | × | 20000 26331 |
| = | 11033 | × | 400 26331 |
We obtained :
| x | = | 4413200 26331 |
Convert the result to decimal form :
| x | = | 167.604724 |