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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 (1+1/4)x+(1+1/16)x-63/64x÷7/8 = 256 .
Question type: Equation
Solution:Original question:
| ( | 1 | + | 1 | ÷ | 4 | ) | x | + | ( | 1 | + | 1 | ÷ | 16 | ) | x | − | 63 | ÷ | 64 | × | x | ÷ | 7 | ÷ | 8 | = | 256 |
| Left side of the equation = | ( | 1 | + | 1 | ÷ | 4 | ) | x | + | ( | 1 | + | 1 | ÷ | 16 | ) | x | − | 9 512 | x |
| ( | 1 | + | 1 | ÷ | 4 | ) | x | + | ( | 1 | + | 1 | ÷ | 16 | ) | x | − | 9 512 | x | = | 256 |
| Left side of the equation = | 1 | x | + | 1 | ÷ | 4 | × | x | + | ( | 1 | + | 1 | ÷ | 16 | ) | x | − | 9 512 | x |
| = | 1 | x | + | 1 4 | x | + | ( | 1 | + | 1 | ÷ | 16 | ) | x | − | 9 512 | x |
| = | 631 512 | x | + | ( | 1 | + | 1 | ÷ | 16 | ) | x |
| = | 631 512 | x | + | 1 | x | + | 1 | ÷ | 16 | × | x |
| = | 631 512 | x | + | 1 | x | + | 1 16 | x |
| = | 1175 512 | x |
1175 512 | x | = | 256 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 256 | ÷ | 1175 512 |
| = | 256 | × | 512 1175 |
We obtained :
| x | = | 131072 1175 |
Convert the result to decimal form :
| x | = | 111.550638 |