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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 (8.28-x)*(8.28-x)*3.14*0.5 = x*(8.28-x)*2 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
After the equation is converted into a general formula, there is a common factor:
( 25x - 207 )
From
25x - 207 = 0
it is concluded that:：
Solutions that cannot be obtained by factorization:
x2≈3.641345 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (8.28-x)*(8.28-x)*3.14*0.5 = x*(8.28-x)*2 .
Question type: Equation
Solution:Original question:
| ( | 207 25 | − | x | ) | ( | 207 25 | − | x | ) | × | 157 50 | × | 1 2 | = | x | ( | 207 25 | − | x | ) | × | 2 |
| Left side of the equation = | ( | 207 25 | − | x | ) | ( | 207 25 | − | x | ) | × | 157 100 |
| ( | 207 25 | − | x | ) | ( | 207 25 | − | x | ) | × | 157 100 | = | x | ( | 207 25 | − | x | ) | × | 2 |
| Left side of the equation = | 207 25 | ( | 207 25 | − | x | ) | × | 157 100 | − | x | ( | 207 25 | − | x | ) | × | 157 100 |
| = | 32499 2500 | ( | 207 25 | − | x | ) | − | x | ( | 207 25 | − | x | ) | × | 157 100 |
| = | 32499 2500 | × | 207 25 | − | 32499 2500 | x | − | x | ( | 207 25 | − | x | ) | × | 157 100 |
| = | 6727293 62500 | − | 32499 2500 | x | − | x | ( | 207 25 | − | x | ) | × | 157 100 |
| = | 6727293 62500 | − | 32499 2500 | x | − | x | × | 207 25 | × | 157 100 | + | x | x | × | 157 100 |
| = | 6727293 62500 | − | 32499 2500 | x | − | x | × | 32499 2500 | + | x | x | × | 157 100 |
| = | 6727293 62500 | − | 32499 1250 | x | + | x | x | × | 157 100 |
6727293 62500 | − | 32499 1250 | x | + | x | x | × | 157 100 | = | x | ( | 207 25 | − | x | ) | × | 2 |
| Right side of the equation = | x | × | 207 25 | × | 2 | − | x | x | × | 2 |
| = | x | × | 414 25 | − | x | x | × | 2 |
6727293 62500 | − | 32499 1250 | x | + | x | x | × | 157 100 | = | 414 25 | x | − | x | x | × | 2 |
After the equation is converted into a general formula, there is a common factor:
( 25x - 207 )
From
25x - 207 = 0
it is concluded that:：
| x1= | 207 25 |
Solutions that cannot be obtained by factorization:
x2≈3.641345 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》