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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
☆3 inequalities
☆2 equations
☆2 arithmetic calculations
[ 1/7 Equation]
Work: Find the solution of equation x^2+x = 1 .
Question type: Equation
Solution:
The solution of the equation:
x1≈-1.618034 , keep 6 decimal places
x2≈0.618034 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
[ 2/7Inequality]
Assignment:Find the solution set of inequality x^2 <-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
x ^ 2 < -1 (1)
From inequality(1)：
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
[ 3/7Inequality]
Assignment:Find the solution set of inequality x^4 ≥-4 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
x ^ 4 ≥ -4 (1)
From inequality(1)：
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
The final solution set is :
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
[4/7 Formula]
Work: Calculate the value of equation √((-2)^4) .
Question type: Mathematical calculation
Solution:
√((-2)^4)
=√((-2)^4)
=√16
=4
Answer:√((-2)^4)=4
[5/7 Formula]
Work: Calculate the value of equation (√5-1)/2 .
Question type: Mathematical calculation
Solution:
(√5-1)/2
=1.236068/2
=0.618034
Answer:(√5-1)/2=0.618034
[ 6/7Inequality]
Assignment:Find the solution set of inequality x+1 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
x + 1 >0 (1)
From inequality(1)：
x ＞ -1
The final solution set is :
x ＞ -1
[ 7/7 Equation]
Work: Find the solution of equation x/3 = 3 .
Question type: Equation
Solution:Original question:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
>>注：本次最多计算 7 道题。
☆3 inequalities
☆2 equations
☆2 arithmetic calculations
[ 1/7 Equation]
Work: Find the solution of equation x^2+x = 1 .
Question type: Equation
Solution:
The solution of the equation:
x1≈-1.618034 , keep 6 decimal places
x2≈0.618034 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
[ 2/7Inequality]
Assignment:Find the solution set of inequality x^2 <-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
x ^ 2 < -1 (1)
From inequality(1)：
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
[ 3/7Inequality]
Assignment:Find the solution set of inequality x^4 ≥-4 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
x ^ 4 ≥ -4 (1)
From inequality(1)：
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
The final solution set is :
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
[4/7 Formula]
Work: Calculate the value of equation √((-2)^4) .
Question type: Mathematical calculation
Solution:
√((-2)^4)
=√((-2)^4)
=√16
=4
Answer:√((-2)^4)=4
[5/7 Formula]
Work: Calculate the value of equation (√5-1)/2 .
Question type: Mathematical calculation
Solution:
(√5-1)/2
=1.236068/2
=0.618034
Answer:(√5-1)/2=0.618034
[ 6/7Inequality]
Assignment:Find the solution set of inequality x+1 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
x + 1 >0 (1)
From inequality(1)：
x ＞ -1
The final solution set is :
x ＞ -1
[ 7/7 Equation]
Work: Find the solution of equation x/3 = 3 .
Question type: Equation
Solution:Original question:
| x | ÷ | 3 | = | 3 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3 | ÷ | 1 3 |
| = | 3 | × | 3 |
We obtained :
| x | = | 9 |
>>注：本次最多计算 7 道题。