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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 xx/(0.01-x)(0.01-x) = 2.23 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
After the equation is converted into a general formula, it is converted into:
( 10x +√223 )( 10x - √223 )=0
From
10x +√223 = 0
10x - √223 = 0
it is concluded that:：
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》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation xx/(0.01-x)(0.01-x) = 2.23 .
Question type: Equation
Solution:Original question:
| x | x | ÷ | ( | 1 100 | − | x | ) | × | ( | 1 100 | − | x | ) | = | 223 100 |
| Multiply both sides of the equation by: | ( | 1 100 | − | x | ) |
| x | x | ( | 1 100 | − | x | ) | = | 223 100 | ( | 1 100 | − | x | ) |
| x | x | × | 1 100 | − | x | x | x | = | 223 100 | ( | 1 100 | − | x | ) |
| x | x | × | 1 100 | − | x | x | x | = | 223 100 | × | 1 100 | − | 223 100 | x |
| x | x | × | 1 100 | − | x | x | x | = | 223 10000 | − | 223 100 | x |
After the equation is converted into a general formula, it is converted into:
( 10x +√223 )( 10x - √223 )=0
From
10x +√223 = 0
10x - √223 = 0
it is concluded that:：
| x1= | - | √223 10 |
| x2= | √223 10 |
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》