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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 115*1*(1+0.06*x)*(0.6*x-0.3-0.18) = 30*2*(0.4-x)*(1+0.04-0.1*x) .
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 :
The solution of the equation:
x1≈0.619785 , keep 6 decimal places
x2≈69.535054 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 115*1*(1+0.06*x)*(0.6*x-0.3-0.18) = 30*2*(0.4-x)*(1+0.04-0.1*x) .
Question type: Equation
Solution:Original question:
| 115 | × | 1 | ( | 1 | + | 3 50 | x | ) | ( | 3 5 | x | − | 3 10 | − | 9 50 | ) | = | 30 | × | 2 | ( | 2 5 | − | x | ) | ( | 1 | + | 1 25 | − | 1 10 | x | ) |
| Left side of the equation = | 115 | ( | 1 | + | 3 50 | x | ) | ( | 3 5 | x | − | 3 10 | − | 9 50 | ) |
| 115 | ( | 1 | + | 3 50 | x | ) | ( | 3 5 | x | − | 3 10 | − | 9 50 | ) | = | 30 | × | 2 | ( | 2 5 | − | x | ) | ( | 1 | + | 1 25 | − | 1 10 | x | ) |
| Left side of the equation = | 115 | × | 1 | ( | 3 5 | x | − | 3 10 | − | 9 50 | ) | + | 115 | × | 3 50 | x | ( | 3 5 | x | − | 3 10 | − | 9 50 | ) |
| = | 115 | ( | 3 5 | x | − | 3 10 | − | 9 50 | ) | + | 69 10 | x | ( | 3 5 | x | − | 3 10 | − | 9 50 | ) |
| = | 115 | × | 3 5 | x | − | 115 | × | 3 10 | − | 115 | × | 9 50 | + | 69 10 | x | ( | 3 5 | x | − | 3 10 | − | 9 50 | ) |
| = | 69 | x | − | 69 2 | − | 207 10 | + | 69 10 | x | ( | 3 5 | x | − | 3 10 | − | 9 50 | ) |
| = | 69 | x | − | 276 5 | + | 69 10 | x | ( | 3 5 | x | − | 3 10 | − | 9 50 | ) |
| = | 69 | x | − | 276 5 | + | 69 10 | x | × | 3 5 | x | − | 69 10 | x | × | 3 10 | − | 69 10 | x |
| = | 69 | x | − | 276 5 | + | 207 50 | x | x | − | 207 100 | x | − | 621 500 | x |
| = | 8211 125 | x | − | 276 5 | + | 207 50 | x | x |
8211 125 | x | − | 276 5 | + | 207 50 | x | x | = | 30 | × | 2 | ( | 2 5 | − | x | ) | ( | 1 | + | 1 25 | − | 1 10 | x | ) |
| Right side of the equation = | 60 | ( | 2 5 | − | x | ) | ( | 1 | + | 1 25 | − | 1 10 | x | ) |
8211 125 | x | − | 276 5 | + | 207 50 | x | x | = | 60 | ( | 2 5 | − | x | ) | ( | 1 | + | 1 25 | − | 1 10 | x | ) |
| Right side of the equation = | 60 | × | 2 5 | ( | 1 | + | 1 25 | − | 1 10 | x | ) | − | 60 | x | ( | 1 | + | 1 25 | − | 1 10 | x | ) |
| = | 24 | ( | 1 | + | 1 25 | − | 1 10 | x | ) | − | 60 | x | ( | 1 | + | 1 25 | − | 1 10 | x | ) |
| = | 24 | × | 1 | + | 24 | × | 1 25 | − | 24 | × | 1 10 | x | − | 60 | x | ( | 1 | + | 1 25 | − | 1 10 | x | ) |
| = | 24 | + | 24 25 | − | 12 5 | x | − | 60 | x | ( | 1 | + | 1 25 | − | 1 10 | x | ) |
| = | 624 25 | − | 12 5 | x | − | 60 | x | ( | 1 | + | 1 25 | − | 1 10 | x | ) |
| = | 624 25 | − | 12 5 | x | − | 60 | x | × | 1 | − | 60 | x | × | 1 25 | + | 60 | x | × | 1 10 |
| = | 624 25 | − | 12 5 | x | − | 60 | x | − | 12 5 | x | + | 6 | x | x |
| = | 624 25 | − | 324 5 | x | + | 6 | x | x |
8211 125 | x | − | 276 5 | + | 207 50 | x | x | = | 624 25 | − | 324 5 | x | + | 6 | x | x |
The solution of the equation:
x1≈0.619785 , keep 6 decimal places
x2≈69.535054 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》