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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 5%x+5%*3.5%x+0.05%x+(x-5%x-5%*3.5%-0.05%x-800)*0.2 = 5%x+5%*3.5%x+0.05%x+(x-5%x-5%*3.5%x-0.05%x)*0.8*0.2 .
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 :
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left 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 5%x+5%*3.5%x+0.05%x+(x-5%x-5%*3.5%-0.05%x-800)*0.2 = 5%x+5%*3.5%x+0.05%x+(x-5%x-5%*3.5%x-0.05%x)*0.8*0.2 .
Question type: Equation
Solution:Original question:
5 100 | x | + | 5 100 | × | 7 200 | x | + | 1 2000 | x | + | ( | x | − | 5 100 | x | − | 5 100 | × | 7 200 | − | 1 2000 | x | − | 800 | ) | × | 1 5 | = | 5 100 | x | + | 5 100 | × | 7 200 | x | + | 1 2000 | x | + | ( | x | − | 5 100 | x | − | 5 100 | × | 7 200 | x | − | 1 2000 | x | ) | × | 4 5 | × | 1 5 |
| Left side of the equation = | 5 100 | x | + | 7 4000 | x | + | 1 2000 | x | + | ( | x | − | 5 100 | x | − | 5 100 | × | 7 200 | − | 1 2000 | x | − | 800 | ) | × | 1 5 |
| = | 209 4000 | x | + | ( | x | − | 5 100 | x | − | 5 100 | × | 7 200 | − | 1 2000 | x | − | 800 | ) | × | 1 5 |
209 4000 | x | + | ( | x | − | 5 100 | x | − | 5 100 | × | 7 200 | − | 1 2000 | x | − | 800 | ) | × | 1 5 | = | 5 100 | x | + | 5 100 | × | 7 200 | x | + | 1 2000 | x | + | ( | x | − | 5 100 | x | − | 5 100 | × | 7 200 | x | − | 1 2000 | x | ) | × | 4 5 | × | 1 5 |
| Left side of the equation = | 209 4000 | x | + | x | × | 1 5 | − | 5 100 | x | × | 1 5 | − | 5 100 | × | 7 200 | × | 1 5 | − | 1 2000 | x |
| = | 209 4000 | x | + | x | × | 1 5 | − | 1 100 | x | − | 7 20000 | − | 1 10000 | x | − | 160 |
| = | 4843 20000 | x | − | 3200007 20000 |
4843 20000 | x | − | 3200007 20000 | = | 5 100 | x | + | 5 100 | × | 7 200 | x | + | 1 2000 | x | + | ( | x | − | 5 100 | x | − | 5 100 | × | 7 200 | x | − | 1 2000 | x | ) | × | 4 5 | × | 1 5 |
| Right side of the equation = | 5 100 | x | + | 7 4000 | x | + | 1 2000 | x | + | ( | x | − | 5 100 | x | − | 5 100 | × | 7 200 | x | − | 1 2000 | x | ) | × | 4 25 |
| = | 209 4000 | x | + | ( | x | − | 5 100 | x | − | 5 100 | × | 7 200 | x | − | 1 2000 | x | ) | × | 4 25 |
4843 20000 | x | − | 3200007 20000 | = | 209 4000 | x | + | ( | x | − | 5 100 | x | − | 5 100 | × | 7 200 | x | − | 1 2000 | x | ) | × | 4 25 |
| Right side of the equation = | 209 4000 | x | + | x | × | 4 25 | − | 5 100 | x | × | 4 25 | − | 5 100 | × | 7 200 | x | × | 4 25 | − | 1 2000 |
| = | 209 4000 | x | + | x | × | 4 25 | − | 1 125 | x | − | 7 25000 | x | − | 1 12500 | x |
| = | 20389 100000 | x |
4843 20000 | x | − | 3200007 20000 | = | 20389 100000 | x |
Transposition :
4843 20000 | x | − | 20389 100000 | x | = | 3200007 20000 |
Combine the items on the left of the equation:
1913 50000 | x | = | 3200007 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3200007 20000 | ÷ | 1913 50000 |
| = | 3200007 20000 | × | 50000 1913 |
| = | 3200007 2 | × | 5 1913 |
We obtained :
| x | = | 16000035 3826 |
Convert the result to decimal form :
| x | = | 4181.922373 |