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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 0.9*26.28*270*x = 462*443+0.9*509*459-0.9*402*440-660*(1.25x-84-25)/(1.25x-84) .
Question type: Equation
Solution:Original question:
9 10 | × | 657 25 | × | 270 | x | = | 462 | × | 443 | + | 9 10 | × | 509 | × | 459 | − | 9 10 | × | 402 | × | 440 | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) | ÷ | ( | 5 4 | x | − | 84 | ) |
| Multiply both sides of the equation by: | ( | 5 4 | x | − | 84 | ) |
9 10 | × | 657 25 | × | 270 | x | ( | 5 4 | x | − | 84 | ) | = | 462 | × | 443 | ( | 5 4 | x | − | 84 | ) | + | 9 10 | × | 509 | × | 459 | ( | 5 4 | x | − | 84 | ) | − | 9 10 | × | 402 | × | 440 | ( | 5 4 | x | − | 84 | ) | − | 660 |
9 10 | × | 657 25 | × | 270 | x | × | 5 4 | x | − | 9 10 | × | 657 25 | × | 270 | x | × | 84 | = | 462 | × | 443 | ( | 5 4 | x | − | 84 | ) | + | 9 10 | × | 509 | × | 459 | ( | 5 4 | x | − | 84 | ) | − | 9 10 | × | 402 | × | 440 | ( | 5 4 | x | − | 84 | ) | − | 660 |
9 10 | × | 657 25 | × | 270 | x | × | 5 4 | x | − | 9 10 | × | 657 25 | × | 270 | x | × | 84 | = | 462 | × | 443 | × | 5 4 | x | − | 462 | × | 443 | × | 84 | + | 9 10 | × | 509 | × | 459 | ( | 5 4 | x | − | 84 | ) | − | 9 10 |
159651 20 | x | x | − | 13410684 25 | x | = | 511665 2 | x | − | 17191944 | + | 2102679 10 | ( | 5 4 | x | − | 84 | ) | − | 159192 | ( | 5 4 | x | − | 84 | ) | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
159651 20 | x | x | − | 13410684 25 | x | = | 511665 2 | x | − | 17191944 | + | 2102679 10 | × | 5 4 | x | − | 2102679 10 | × | 84 | − | 159192 | ( | 5 4 | x | − | 84 | ) | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
159651 20 | x | x | − | 13410684 25 | x | = | 511665 2 | x | − | 17191944 | + | 2102679 8 | x | − | 88312518 5 | − | 159192 | ( | 5 4 | x | − | 84 | ) | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
159651 20 | x | x | − | 13410684 25 | x | = | 4149339 8 | x | − | 174272238 5 | − | 159192 | ( | 5 4 | x | − | 84 | ) | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
159651 20 | x | x | − | 13410684 25 | x | = | 4149339 8 | x | − | 174272238 5 | − | 159192 | × | 5 4 | x | + | 159192 | × | 84 | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
159651 20 | x | x | − | 13410684 25 | x | = | 4149339 8 | x | − | 174272238 5 | − | 198990 | x | + | 13372128 | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
159651 20 | x | x | − | 13410684 25 | x | = | 2557419 8 | x | − | 107411598 5 | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
159651 20 | x | x | − | 13410684 25 | x | = | 2557419 8 | x | − | 107411598 5 | − | 660 | × | 5 4 | x | + | 660 | × | 84 | + | 660 | × | 25 |
159651 20 | x | x | − | 13410684 25 | x | = | 2557419 8 | x | − | 107411598 5 | − | 825 | x | + | 55440 | + | 16500 |
159651 20 | x | x | − | 13410684 25 | x | = | 2550819 8 | x | − | 107051898 5 |
The solution of the equation:
x1≈39.868048 , keep 6 decimal places
x2≈67.275626 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》