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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 19.3*(56.2-x)/10.5x = (1013.25-10.5x)/10.5x .
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:
( x +0 )
From
x + 0 = 0
it is concluded that:：
x1=0
Solutions that cannot be obtained by factorization:
x2≈8.114773 , 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 19.3*(56.2-x)/10.5x = (1013.25-10.5x)/10.5x .
Question type: Equation
Solution:Original question:
193 10 | ( | 281 5 | − | x | ) | ÷ | 21 2 | × | x | = | ( | 4053 4 | − | 21 2 | x | ) | ÷ | 21 2 | × | x |
| Left side of the equation = | 193 105 | ( | 281 5 | − | x | ) | x |
193 105 | ( | 281 5 | − | x | ) | x | = | ( | 4053 4 | − | 21 2 | x | ) | ÷ | 21 2 | × | x |
| Left side of the equation = | 193 105 | × | 281 5 | x | − | 193 105 | x | x |
| = | 54233 525 | x | − | 193 105 | x | x |
54233 525 | x | − | 193 105 | x | x | = | ( | 4053 4 | − | 21 2 | x | ) | ÷ | 21 2 | × | x |
| Right side of the equation = | 4053 4 | × | 2 21 | x | − | 21 2 | x | × | 2 21 | x |
| = | 193 2 | x | − | 1 | x | x |
54233 525 | x | − | 193 105 | x | x | = | 193 2 | x | − | 1 | x | x |
After the equation is converted into a general formula, there is a common factor:
( x +0 )
From
x + 0 = 0
it is concluded that:：
x1=0
Solutions that cannot be obtained by factorization:
x2≈8.114773 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》