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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 8.314*523*(0.5-x)*(0.6-x)/200*(0.2+x) = 27.3 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
x≈1.429310 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 8.314*523*(0.5-x)*(0.6-x)/200*(0.2+x) = 27.3 .
Question type: Equation
Solution:Original question:
4157 500 | × | 523 | ( | 1 2 | − | x | ) | ( | 3 5 | − | x | ) | ÷ | 200 | × | ( | 1 5 | + | x | ) | = | 273 10 |
| Left side of the equation = | 2174111 100000 | ( | 1 2 | − | x | ) | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) |
2174111 100000 | ( | 1 2 | − | x | ) | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) | = | 273 10 |
| Left side of the equation = | 2174111 100000 | × | 1 2 | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) | − | 2174111 100000 | x | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) |
| = | 2174111 200000 | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) | − | 2174111 100000 | x | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) |
| = | 2174111 200000 | × | 3 5 | ( | 1 5 | + | x | ) | − | 2174111 200000 | x | ( | 1 5 | + | x | ) | − | 2174111 100000 | x | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) |
| = | 6522333 1000000 | ( | 1 5 | + | x | ) | − | 2174111 200000 | x | ( | 1 5 | + | x | ) | − | 2174111 100000 | x | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) |
| = | 6522333 1000000 | × | 1 5 | + | 6522333 1000000 | x | − | 2174111 200000 | x | ( | 1 5 | + | x | ) | − | 2174111 100000 | x | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) |
| = | 6522333 5000000 | + | 6522333 1000000 | x | − | 2174111 200000 | x | ( | 1 5 | + | x | ) | − | 2174111 100000 | x | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) |
| = | 6522333 5000000 | + | 6522333 1000000 | x | − | 2174111 200000 | x | × | 1 5 | − | 2174111 200000 | x | x | − | 2174111 100000 | x | ( | 3 5 | − | x | ) |
| = | 6522333 5000000 | + | 6522333 1000000 | x | − | 2174111 1000000 | x | − | 2174111 200000 | x | x | − | 2174111 100000 | x | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) |
| = | 6522333 5000000 | + | 2174111 500000 | x | − | 2174111 200000 | x | x | − | 2174111 100000 | x | ( | 3 5 | − | x | ) | ( | 1 5 | + | x | ) |
| = | 6522333 5000000 | + | 2174111 500000 | x | − | 2174111 200000 | x | x | − | 2174111 100000 | x | × | 3 5 | ( | 1 5 | + | x | ) | + | 2174111 100000 | x |
| = | 6522333 5000000 | + | 2174111 500000 | x | − | 2174111 200000 | x | x | − | 6522333 500000 | x | ( | 1 5 | + | x | ) | + | 2174111 100000 | x | x |
| = | 6522333 5000000 | + | 2174111 500000 | x | − | 2174111 200000 | x | x | − | 6522333 500000 | x | × | 1 5 | − | 6522333 500000 | x | x |
| = | 6522333 5000000 | + | 2174111 500000 | x | − | 2174111 200000 | x | x | − | 6522333 2500000 | x | − | 6522333 500000 | x | x | + | 2174111 100000 |
x≈1.429310 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》