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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+x1.5+x2.25+x3.375+x5.0625+x7.59375 = 378 .
Question type: Equation
Solution:Original question:
| x | + | x | × | 3 2 | + | x | × | 9 4 | + | x | × | 27 8 | + | x | × | 81 16 | + | x | × | 243 32 | = | 378 |
| Left side of the equation = | 665 32 | x |
665 32 | x | = | 378 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 378 | ÷ | 665 32 |
| = | 378 | × | 32 665 |
| = | 54 | × | 32 95 |
We obtained :
| x | = | 1728 95 |
Convert the result to decimal form :
| x | = | 18.189474 |