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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 0.507x(50+6.8x)-0.493x(40+8.2x) = 0 .
Question type: Equation
Solution:Original question:
507 1000 | x | ( | 50 | + | 34 5 | x | ) | − | 493 1000 | x | ( | 40 | + | 41 5 | x | ) | = | 0 |
| Left side of the equation = | 507 1000 | x | × | 50 | + | 507 1000 | x | × | 34 5 | x | − | 493 1000 | x | ( | 40 | + | 41 5 | x | ) |
| = | 507 20 | x | + | 8619 2500 | x | x | − | 493 1000 | x | ( | 40 | + | 41 5 | x | ) |
| = | 507 20 | x | + | 8619 2500 | x | x | − | 493 1000 | x | × | 40 | − | 493 1000 | x | × | 41 5 | x |
| = | 507 20 | x | + | 8619 2500 | x | x | − | 493 25 | x | − | 20213 5000 | x | x |
| = | 563 100 | x | + | 8619 2500 | x | x | − | 20213 5000 | x | x |
563 100 | x | + | 8619 2500 | x | x | − | 20213 5000 | x | x | = | 0 |
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≈9.462185 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》