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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 (1.86+2x)/(1.86+x)-1 = 0.33% .
Question type: Equation
Solution:Original question:
| ( | 93 50 | + | 2 | x | ) | ÷ | ( | 93 50 | + | x | ) | − | 1 | = | 33 10000 |
| Multiply both sides of the equation by: | ( | 93 50 | + | x | ) |
| ( | 93 50 | + | 2 | x | ) | − | 1 | ( | 93 50 | + | x | ) | = | 33 10000 | ( | 93 50 | + | x | ) |
93 50 | + | 2 | x | − | 1 | ( | 93 50 | + | x | ) | = | 33 10000 | ( | 93 50 | + | x | ) |
93 50 | + | 2 | x | − | 1 | ( | 93 50 | + | x | ) | = | 33 10000 | × | 93 50 | + | 33 10000 | x |
93 50 | + | 2 | x | − | 1 | ( | 93 50 | + | x | ) | = | 3069 500000 | + | 33 10000 | x |
93 50 | + | 2 | x | − | 1 | × | 93 50 | − | 1 | x | = | 3069 500000 | + | 33 10000 | x |
93 50 | + | 2 | x | − | 93 50 | − | 1 | x | = | 3069 500000 | + | 33 10000 | x |
| 0 | + | 1 | x | = | 3069 500000 | + | 33 10000 | x |
Transposition :
| 1 | x | − | 33 10000 | x | = | 3069 500000 |
Combine the items on the left of the equation:
9967 10000 | x | = | 3069 500000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3069 500000 | ÷ | 9967 10000 |
| = | 3069 500000 | × | 10000 9967 |
| = | 3069 50 | × | 1 9967 |
We obtained :
| x | = | 3069 498350 |
Convert the result to decimal form :
| x | = | 0.006158 |