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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 (14/9-2x)*(14/9-2x)/(2/9-x)/(20/9) = 49 .
Question type: Equation
Solution:Original question:
| ( | 14 | ÷ | 9 | − | 2 | x | ) | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 2 | ÷ | 9 | − | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | = | 49 |
| Multiply both sides of the equation by: | ( | 2 | ÷ | 9 | − | x | ) |
| ( | 14 | ÷ | 9 | − | 2 | x | ) | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | = | 49 | ( | 2 | ÷ | 9 | − | x | ) |
| 14 | ÷ | 9 | × | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | = | 49 | ( | 2 | ÷ | 9 | − | x | ) |
| 14 | ÷ | 9 | × | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | = | 49 | × | 2 | ÷ | 9 | − | 49 | x |
14 9 | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | = | 98 9 | − | 49 | x |
| Multiply both sides of the equation by: | ( | 20 | ÷ | 9 | ) |
14 9 | ( | 14 | ÷ | 9 | − | 2 | x | ) | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | × | ( | 20 | ÷ | 9 | ) | = | 98 9 | ( | 20 | ÷ | 9 | ) | − | 49 | x | ( | 20 | ÷ | 9 | ) |
14 9 | × | 14 | ÷ | 9 | − | 14 9 | × | 2 | x | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | × | ( | 20 | ÷ | 9 | ) | = | 98 9 | ( | 20 | ÷ | 9 | ) | − | 49 | x | ( | 20 | ÷ | 9 | ) |
14 9 | × | 14 | ÷ | 9 | − | 14 9 | × | 2 | x | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | × | ( | 20 | ÷ | 9 | ) | = | 98 9 | × | 20 | ÷ | 9 | − | 49 | x | ( | 20 | ÷ | 9 | ) |
196 81 | − | 28 9 | x | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ÷ | ( | 20 | ÷ | 9 | ) | × | ( | 20 | ÷ | 9 | ) | = | 1960 81 | − | 49 | x | ( | 20 | ÷ | 9 | ) |
| Multiply both sides of the equation by: | ( | 20 | ÷ | 9 | ) |
196 81 | ( | 20 | ÷ | 9 | ) | − | 28 9 | x | ( | 20 | ÷ | 9 | ) | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ( | 20 | ÷ | 9 | ) | = | 1960 81 | ( | 20 | ÷ | 9 | ) | − | 49 | x | ( | 20 | ÷ | 9 | ) | ( | 20 | ÷ | 9 | ) |
196 81 | × | 20 | ÷ | 9 | − | 28 9 | x | ( | 20 | ÷ | 9 | ) | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ( | 20 | ÷ | 9 | ) | = | 1960 81 | ( | 20 | ÷ | 9 | ) | − | 49 | x | ( | 20 | ÷ | 9 | ) | ( | 20 | ÷ | 9 | ) |
196 81 | × | 20 | ÷ | 9 | − | 28 9 | x | ( | 20 | ÷ | 9 | ) | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ( | 20 | ÷ | 9 | ) | = | 1960 81 | × | 20 | ÷ | 9 | − | 49 | x | ( | 20 | ÷ | 9 | ) | ( | 20 | ÷ | 9 | ) |
3920 729 | − | 28 9 | x | ( | 20 | ÷ | 9 | ) | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ( | 20 | ÷ | 9 | ) | = | 39200 729 | − | 49 | x | ( | 20 | ÷ | 9 | ) | ( | 20 | ÷ | 9 | ) |
3920 729 | − | 28 9 | x | × | 20 | ÷ | 9 | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ( | 20 | ÷ | 9 | ) | = | 39200 729 | − | 49 | x | ( | 20 | ÷ | 9 | ) | ( | 20 | ÷ | 9 | ) |
3920 729 | − | 28 9 | x | × | 20 | ÷ | 9 | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ( | 20 | ÷ | 9 | ) | = | 39200 729 | − | 49 | x | × | 20 | ÷ | 9 | × | ( | 20 | ÷ | 9 | ) |
3920 729 | − | 560 81 | x | − | 2 | x | ( | 14 | ÷ | 9 | − | 2 | x | ) | ( | 20 | ÷ | 9 | ) | = | 39200 729 | − | 980 9 | x | ( | 20 | ÷ | 9 | ) |
3920 729 | − | 560 81 | x | − | 2 | x | × | 14 | ÷ | 9 | × | ( | 20 | ÷ | 9 | ) | + | 2 | x | × | 2 | x | = | 39200 729 | − | 980 9 | x | ( | 20 | ÷ | 9 | ) |
3920 729 | − | 560 81 | x | − | 2 | x | × | 14 | ÷ | 9 | × | ( | 20 | ÷ | 9 | ) | + | 2 | x | × | 2 | x | = | 39200 729 | − | 980 9 | x | × | 20 | ÷ | 9 |
3920 729 | − | 560 81 | x | − | 28 9 | x | ( | 20 | ÷ | 9 | ) | + | 4 | x | x | ( | 20 | ÷ | 9 | ) | = | 39200 729 | − | 19600 81 | x |
3920 729 | − | 560 81 | x | − | 28 9 | x | × | 20 | ÷ | 9 | + | 4 | x | x | ( | 20 | ÷ | 9 | ) | = | 39200 729 | − | 19600 81 | x |
3920 729 | − | 560 81 | x | − | 560 81 | x | + | 4 | x | x | ( | 20 | ÷ | 9 | ) | = | 39200 729 | − | 19600 81 | x |
3920 729 | − | 1120 81 | x | + | 4 | x | x | ( | 20 | ÷ | 9 | ) | = | 39200 729 | − | 19600 81 | x |
3920 729 | − | 1120 81 | x | + | 4 | x | x | × | 20 | ÷ | 9 | = | 39200 729 | − | 19600 81 | x |
x≈-25.877063 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》