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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 x+1/2x+1/4x+1/16x+1/32x+1/64x = 378 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x+1/2x+1/4x+1/16x+1/32x+1/64x = 378 .
Question type: Equation
Solution:Original question:
| x | + | 1 | ÷ | 2 | × | x | + | 1 | ÷ | 4 | × | x | + | 1 | ÷ | 16 | × | x | + | 1 | ÷ | 32 | = | 378 |
| Left side of the equation = | x | + | 1 2 | x | + | 1 4 | x | + | 1 16 | x | + | 1 32 | x | + | 1 64 | x |
| = | 119 64 | x |
119 64 | x | = | 378 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 378 | ÷ | 119 64 |
| = | 378 | × | 64 119 |
| = | 54 | × | 64 17 |
We obtained :
| x | = | 3456 17 |
Convert the result to decimal form :
| x | = | 203.294118 |