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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: 7 questions will be solved this time.Among them
☆1 inequalities
☆4 equations
☆2 arithmetic calculations
[ 1/7 Equation]
Work: Find the solution of equation e^x = x+2 .
Question type: Equation
Solution:
The solution of the equation:
x1≈-1.841406 , keep 6 decimal places
x2≈1.146193 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
[2/7 Formula]
Work: Calculate the value of equation (-1)^11-3^2+9^0.5 .
Question type: Mathematical calculation
Solution:
(-1)^11-3^2+9^0.5
=-1^11-3^2+9^0.5
=-1-3^2+9^0.5
=-1-9+9^0.5
=-1-9+3
=-10+3
=-7
Answer:(-1)^11-3^2+9^0.5=-7
[ 3/7Inequality]
Assignment:Find the solution set of inequality 1/sqrt(x^2+1) <0.6 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
1 / sqrt ( x ^ 2 + 1 ) <0.6 (1)
From the definition field of √
x ^ 2 + 1 ≥ 0 (2 )
From inequality(1)：
x < -4/3 或 x ＞ 4/3
From inequality(2)：
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x < -4/3 或 x ＞ 4/3 (3)
The final solution set is :
x < -4/3 或 x ＞ 4/3
[ 4/7 Equation]
Work: Find the solution of equation x*e^x = 2 .
Question type: Equation
Solution:
the solutions is:
x≈0.852606 , 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》
[5/7 Formula]
Work: Calculate the value of equation 1^2+2^3-3/(-1)^8 .
Question type: Mathematical calculation
Solution:
1^2+2^3-3/(-1)^8
=1^2+2^3-3/(-1)^8
=1+2^3-3/(-1)^8
=1+8-3/(-1)^8
=1+8-3/1
=1+8-3
=9-3
=6
Answer:1^2+2^3-3/(-1)^8=6
[ 6/7 Equation]
Work: Find the solution of equation x^2 = 2 .
Question type: Equation
Solution:
After the equation is converted into a general formula, it is converted into:
( x + √2 )( x - √2 )=0
From
x + √2 = 0
x - √2 = 0
it is concluded that:：
x1=-√2
x2=√2
There are 2 solution(s).
解一元二次方程的详细方法请参阅：《一元二次方程的解法》
[ 7/7 Equation]
Work: Find the solution of equation x-1/x = 5 .
Question type: Equation
Solution:Original question:
| x | − | 1 | ÷ | x | = | 5 |
| Multiply both sides of the equation by: | x |
| x | x | − | 1 | = | 5 | x |
The solution of the equation:
x1≈-0.192582 , keep 6 decimal places
x2≈5.192582 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
>>注：本次最多计算 7 道题。