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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 3(x-0.607)(x-0.819)+2(x-1)(x-0.819)-5(x-1)(x-0.607) = 0 .
Question type: Equation
Solution:Original question:
| 3 | ( | x | − | 607 1000 | ) | ( | x | − | 819 1000 | ) | + | 2 | ( | x | − | 1 | ) | ( | x | − | 819 1000 | ) | − | 5 | ( | x | − | 1 | ) | ( | x | − | 607 1000 | ) | = | 0 |
| Left side of the equation = | 3 | x | ( | x | − | 819 1000 | ) | − | 3 | × | 607 1000 | ( | x | − | 819 1000 | ) | + | 2 | ( | x | − | 1 | ) | ( | x | − | 819 1000 | ) | − | 5 | ( | x | − | 1 | ) | ( | x | − | 607 1000 | ) |
| = | 3 | x | ( | x | − | 819 1000 | ) | − | 1821 1000 | ( | x | − | 819 1000 | ) | + | 2 | ( | x | − | 1 | ) | ( | x | − | 819 1000 | ) | − | 5 | ( | x | − | 1 | ) | ( | x | − | 607 1000 | ) |
| = | 3 | x | x | − | 3 | x | × | 819 1000 | − | 1821 1000 | ( | x | − | 819 1000 | ) | + | 2 | ( | x | − | 1 | ) | ( | x | − | 819 1000 | ) | − | 5 |
| = | 3 | x | x | − | 2457 1000 | x | − | 1821 1000 | ( | x | − | 819 1000 | ) | + | 2 | ( | x | − | 1 | ) | ( | x | − | 819 1000 | ) | − | 5 | ( | x | − | 1 | ) |
| = | 3 | x | x | − | 2457 1000 | x | − | 1821 1000 | x | + | 1821 1000 | × | 819 1000 | + | 2 | ( | x | − | 1 | ) | ( | x | − | 819 1000 | ) |
| = | 3 | x | x | − | 2457 1000 | x | − | 1821 1000 | x | + | 1491399 1000000 | + | 2 | ( | x | − | 1 | ) | ( | x | − | 819 1000 | ) | − | 5 |
| = | 3 | x | x | − | 2139 500 | x | + | 1491399 1000000 | + | 2 | ( | x | − | 1 | ) | ( | x | − | 819 1000 | ) | − | 5 | ( | x | − | 1 | ) | ( | x | − | 607 1000 | ) |
| = | 3 | x | x | − | 2139 500 | x | + | 1491399 1000000 | + | 2 | x | ( | x | − | 819 1000 | ) | − | 2 | × | 1 | ( | x | − | 819 1000 | ) |
| = | 3 | x | x | − | 2139 500 | x | + | 1491399 1000000 | + | 2 | x | ( | x | − | 819 1000 | ) | − | 2 | ( | x | − | 819 1000 | ) | − | 5 |
| = | 3 | x | x | − | 2139 500 | x | + | 1491399 1000000 | + | 2 | x | x | − | 2 | x | × | 819 1000 |
| = | 3 | x | x | − | 2139 500 | x | + | 1491399 1000000 | + | 2 | x | x | − | 819 500 | x | − | 2 |
| = | 3 | x | x | − | 1479 250 | x | + | 1491399 1000000 | + | 2 | x | x | − | 2 | ( | x | − | 819 1000 | ) | − | 5 |
| = | 3 | x | x | − | 1479 250 | x | + | 1491399 1000000 | + | 2 | x | x | − | 2 | x | + | 2 |
| = | 3 | x | x | − | 1479 250 | x | + | 1491399 1000000 | + | 2 | x | x | − | 2 | x | + | 819 500 |
| = | 3 | x | x | − | 1979 250 | x | + | 3129399 1000000 | + | 2 | x | x | − | 5 | ( | x | − | 1 | ) | ( | x | − | 607 1000 | ) |
| = | 3 | x | x | − | 1979 250 | x | + | 3129399 1000000 | + | 2 | x | x | − | 5 | x | ( | x | − | 607 1000 | ) |
| = | 3 | x | x | − | 1979 250 | x | + | 3129399 1000000 | + | 2 | x | x | − | 5 | x | ( | x | − | 607 1000 | ) |
| = | 3 | x | x | − | 1979 250 | x | + | 3129399 1000000 | + | 2 | x | x | − | 5 | x | x |
| = | 3 | x | x | − | 1979 250 | x | + | 3129399 1000000 | + | 2 | x | x | − | 5 | x | x |
| = | 3 | x | x | − | 4881 1000 | x | + | 3129399 1000000 | + | 2 | x | x | − | 5 | x | x |
| = | 3 | x | x | − | 4881 1000 | x | + | 3129399 1000000 | + | 2 | x | x | − | 5 | x | x |
| = | 3 | x | x | − | 4881 1000 | x | + | 3129399 1000000 | + | 2 | x | x | − | 5 | x | x |
| = | 3 | x | x | + | 119 1000 | x | + | 94399 1000000 | + | 2 | x | x | − | 5 | x | x |
| 3 | x | x | + | 119 1000 | x | + | 94399 1000000 | + | 2 | x | x | − | 5 | x | x | = | 0 |
x≈-0.793269 , 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》