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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 e(-50*x)+e(-100*x) = 2*e(-70*x) .
Question type: Equation
Solution:
After the equation is converted into a general formula, there is a common factor:
( x - 0 )( 900x - 13453 )( 900x - 13453 )( 500000x - 7513827 )( 1000000x - 15107531 )( 1000000x - 15187407 )( 250000x - 3816821 )( 25000x - 383679 )( 1000000x - 15427037 )
From
x - 0 = 0
900x - 13453 = 0
900x - 13453 = 0
500000x - 7513827 = 0
1000000x - 15107531 = 0
1000000x - 15187407 = 0
250000x - 3816821 = 0
25000x - 383679 = 0
1000000x - 15427037 = 0
it is concluded that:：
x1=0
| x2= | 13453 900 |
| x3= | 13453 900 |
| x4= | 7513827 500000 |
| x5= | 15107531 1000000 |
| x6= | 15187407 1000000 |
| x7= | 3816821 250000 |
| x8= | 383679 25000 |
| x9= | 15427037 1000000 |
Solutions that cannot be obtained by factorization:
x10≈0.016443 , keep 6 decimal places
There are 10 solution(s).
解程的详细方法请参阅：《方程的解法》