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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: 6 questions will be solved this time.Among them
☆6 equations
[ 1/6 Equation]
Work: Find the solution of equation x除去53乘上14 = x减去25 .
Question type: Equation
Solution:Original question:
| x | ÷ | 53 | × | 14 | = | x | − | 25 |
| Left side of the equation = | x | × | 14 53 |
14 53 | x | = | x | − | 25 |
Transposition :
14 53 | x | − | x | = | - | 25 |
Combine the items on the left of the equation:
| - | 39 53 | x | = | - | 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 25 | = | 39 53 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
39 53 | x | = | 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 25 | ÷ | 39 53 |
| = | 25 | × | 53 39 |
We obtained :
| x | = | 1325 39 |
Convert the result to decimal form :
| x | = | 33.974359 |
[ 2/6 Equation]
Work: Find the solution of equation x除去53乘上14加上1除去2 = x减去25 .
Question type: Equation
Solution:Original question:
| x | ÷ | 53 | × | 14 | + | 1 | ÷ | 2 | = | x | − | 25 |
| Left side of the equation = | x | × | 14 53 | + | 1 2 |
14 53 | x | + | 1 2 | = | x | − | 25 |
Transposition :
14 53 | x | − | x | = | - | 25 | − | 1 2 |
Combine the items on the left of the equation:
| - | 39 53 | x | = | - | 25 | − | 1 2 |
Combine the items on the right of the equation:
| - | 39 53 | x | = | - | 51 2 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
51 2 | = | 39 53 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
39 53 | x | = | 51 2 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 51 2 | ÷ | 39 53 |
| = | 51 2 | × | 53 39 |
| = | 17 2 | × | 53 13 |
We obtained :
| x | = | 901 26 |
Convert the result to decimal form :
| x | = | 34.653846 |
[ 3/6 Equation]
Work: Find the solution of equation x乘上100除去25 = x加上25 .
Question type: Equation
Solution:Original question:
| x | × | 100 | ÷ | 25 | = | x | + | 25 |
| Left side of the equation = | x | × | 4 |
| 4 | x | = | x | + | 25 |
Transposition :
| 4 | x | − | x | = | 25 |
Combine the items on the left of the equation:
| 3 | x | = | 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 25 | ÷ | 3 |
| = | 25 | × | 1 3 |
We obtained :
| x | = | 25 3 |
Convert the result to decimal form :
| x | = | 8.333333 |
[ 4/6 Equation]
Work: Find the solution of equation x = tanx .
Question type: Equation
Solution:
The solution of the equation:
| x1=0 |
x2≈-7.853982 , keep 6 decimal places
x3≈-7.725252 , keep 6 decimal places
x4≈-4.712389 , keep 6 decimal places
x5≈-4.493409 , keep 6 decimal places
x6≈-1.570796 , keep 6 decimal places
x7≈1.570796 , keep 6 decimal places
x8≈4.493409 , keep 6 decimal places
x9≈4.712389 , keep 6 decimal places
x10≈7.725252 , keep 6 decimal places
There are 10 solution(s). *Note: Radian.
解程的详细方法请参阅：《方程的解法》
[ 5/6 Equation]
Work: Find the solution of equation x = cosx .
Question type: Equation
Solution:
the solutions is:
x≈0.739085 , keep 6 decimal places
There are 1 solution(s). *Note: Radian.
解方程的详细方法请参阅：《方程的解法》
[ 6/6 Equation]
Work: Find the solution of equation x = sinx .
Question type: Equation
Solution:
the solutions is:
x=0
There are 1 solution(s). *Note: Radian.
解方程的详细方法请参阅：《方程的解法》