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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 0.492/（（50+6.8x）/（90+15.3x）） = 0.508/（（40+8.5x）/（90+15.3x）） .
Question type: Equation
Solution:Original question:
123 250 | ÷ | ( | ( | 50 | + | 34 5 | x | ) | ÷ | ( | 90 | + | 153 10 | x | ) | ) | = | 127 250 | ÷ | ( | ( | 40 | + | 17 2 | x | ) | ÷ | ( | 90 | + | 153 10 | x | ) | ) |
| Multiply both sides of the equation by: | ( | ( | 50 | + | 34 5 | x | ) | ÷ | ( | 90 | + | 153 10 | x | ) | ) | , | ( | ( | 40 | + | 17 2 | x | ) | ÷ | ( | 90 | + | 153 10 | x | ) | ) |
123 250 | ( | ( | 40 | + | 17 2 | x | ) | ÷ | ( | 90 | + | 153 10 | x | ) | ) | = | 127 250 | ( | ( | 50 | + | 34 5 | x | ) | ÷ | ( | 90 | + | 153 10 | x | ) | ) |
123 250 | ( | 40 | + | 17 2 | x | ) | ÷ | ( | 90 | + | 153 10 | x | ) | = | 127 250 | ( | ( | 50 | + | 34 5 | x | ) | ÷ | ( | 90 | + | 153 10 | x | ) | ) |
123 250 | ( | 40 | + | 17 2 | x | ) | ÷ | ( | 90 | + | 153 10 | x | ) | = | 127 250 | ( | 50 | + | 34 5 | x | ) | ÷ | ( | 90 | + | 153 10 | x | ) |
| Multiply both sides of the equation by: | ( | 90 | + | 153 10 | x | ) |
123 250 | ( | 40 | + | 17 2 | x | ) | = | 127 250 | ( | 50 | + | 34 5 | x | ) |
123 250 | × | 40 | + | 123 250 | × | 17 2 | x | = | 127 250 | ( | 50 | + | 34 5 | x | ) |
123 250 | × | 40 | + | 123 250 | × | 17 2 | x | = | 127 250 | × | 50 | + | 127 250 | × | 34 5 | x |
492 25 | + | 2091 500 | x | = | 127 5 | + | 2159 625 | x |
Transposition :
2091 500 | x | − | 2159 625 | x | = | 127 5 | − | 492 25 |
Combine the items on the left of the equation:
1819 2500 | x | = | 127 5 | − | 492 25 |
Combine the items on the right of the equation:
1819 2500 | x | = | 143 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 143 25 | ÷ | 1819 2500 |
| = | 143 25 | × | 2500 1819 |
| = | 143 | × | 100 1819 |
We obtained :
| x | = | 14300 1819 |
Convert the result to decimal form :
| x | = | 7.861462 |