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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
☆2 inequalities
☆4 equations
[ 1/6 Equation]
Work: Find the solution of equation x+1/x = 3 .
Question type: Equation
Solution:Original question:
| x | + | 1 | ÷ | x | = | 3 |
| Multiply both sides of the equation by: | x |
| x | x | + | 1 | = | 3 | x |
The solution of the equation:
x1≈0.381966 , keep 6 decimal places
x2≈2.618034 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
[ 2/6 Equation]
Work: Find the solution of equation x^ln(x) = 2 .
Question type: Equation
Solution:
The solution of the equation:
x1≈0.434937 , keep 6 decimal places
x2≈2.299185 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
[ 3/6Inequality]
Assignment:Find the solution set of inequality x-sqrt(x) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
x - sqrt ( x ) ≥0 (1)
From the definition field of √
x ≥ 0 (2 )
From inequality(1)：
x ≤ 0 或 x ≥ 1
From inequality(2)：
x ≥ 0
From inequalities (1) and (2)
0 ≤ x ≤ 0 或 x ≥ 1 (3)
The final solution set is :
0 ≤ x ≤ 0 或 x ≥ 1
[ 4/6 Equation]
Work: Find the solution of equation x-1/x = 1 .
Question type: Equation
Solution:Original question:
| x | − | 1 | ÷ | x | = | 1 |
| Multiply both sides of the equation by: | x |
| x | x | − | 1 | = | 1 | x |
The solution of the equation:
x1≈-0.618034 , keep 6 decimal places
x2≈1.618034 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
[ 5/6 Equation]
Work: Find the solution of equation e^x = 2 .
Question type: Equation
Solution:
the solutions is:
x≈0.693147 , keep 6 decimal places
There are 1 solution(s).
解方程的详细方法请参阅：《方程的解法》
[ 6/6Inequality]
Assignment:Find the solution set of inequality x+1/x <4 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
x + 1 / x <4 (1)
From the definition field of divisor
x ≠ 0 (2 )
From inequality(1)：
x < 0 或 0.267949 < x < 3.732051
From inequality(2)：
x < 0 或 x ＞ 0
From inequalities (1) and (2)
x < 0 或 0.267949 < x < 3.732051 (3)
The final solution set is :
x < 0 或 0.267949 < x < 3.732051