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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 9244.05 = (x+x*0.6683)/2*28*0.01 .
Question type: Equation
Solution:Original question:
184881 20 | = | ( | x | + | x | × | 6683 10000 | ) | ÷ | 2 | × | 28 | × | 1 100 |
| Right side of the equation = | ( | x | + | x | × | 6683 10000 | ) | × | 7 50 |
184881 20 | = | ( | x | + | x | × | 6683 10000 | ) | × | 7 50 |
| Right side of the equation = | x | × | 7 50 | + | x | × | 6683 10000 | × | 7 50 |
| = | x | × | 7 50 | + | x | × | 46781 500000 |
| = | 116781 500000 | x |
184881 20 | = | 116781 500000 | x |
Transposition :
| - | 116781 500000 | x | = | - | 184881 20 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
184881 20 | = | 116781 500000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
116781 500000 | x | = | 184881 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 184881 20 | ÷ | 116781 500000 |
| = | 184881 20 | × | 500000 116781 |
| = | 61627 | × | 25000 38927 |
We obtained :
| x | = | 1540675000 38927 |
Convert the result to decimal form :
| x | = | 39578.570144 |