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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 0.00068*0.00068 = 0.0006*0.0006*x*x+0.001*0.001*(1-x)*(1-x)+2*0.9*0.0006*0.001*x*(1-x) .
Question type: Equation
Solution:Original question:
The equation is transformed into :
The equation is transformed into :
Remove the bracket on the right of the equation:
After the equation is converted into a general formula, it is converted into:
( 1000000x - 760259 )( 550x - 1389 )=0
From
1000000x - 760259 = 0
550x - 1389 = 0
it is concluded that:：
There are 2 solution(s).
解一元二次方程的详细方法请参阅：《一元二次方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 0.00068*0.00068 = 0.0006*0.0006*x*x+0.001*0.001*(1-x)*(1-x)+2*0.9*0.0006*0.001*x*(1-x) .
Question type: Equation
Solution:Original question:
17 25000 | × | 17 25000 | = | 3 5000 | × | 3 5000 | x | x | + | 1 1000 | × | 1 1000 | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | 2 | × | 9 10 | × | 3 5000 | × | 1 1000 |
| Left side of the equation = | 289 625000000 |
289 625000000 | = | 3 5000 | × | 3 5000 | x | x | + | 1 1000 | × | 1 1000 | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | 2 | × | 9 10 | × | 3 5000 | × | 1 1000 |
| Right side of the equation = | 9 25000000 | x | x | + | 1 1000000 | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | 27 25000000 | x | ( | 1 | − | x | ) |
289 625000000 | = | 9 25000000 | x | x | + | 1 1000000 | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | 27 25000000 | x | ( | 1 | − | x | ) |
| Right side of the equation = | 9 25000000 | x | x | + | 1 1000000 | × | 1 | ( | 1 | − | x | ) | − | 1 1000000 | x | ( | 1 | − | x | ) | + | 27 25000000 | x | ( | 1 | − | x | ) |
| = | 9 25000000 | x | x | + | 1 1000000 | ( | 1 | − | x | ) | − | 1 1000000 | x | ( | 1 | − | x | ) | + | 27 25000000 | x | ( | 1 | − | x | ) |
| = | 9 25000000 | x | x | + | 1 1000000 | × | 1 | − | 1 1000000 | x | − | 1 1000000 | x | ( | 1 | − | x | ) | + | 27 25000000 | x |
| = | 9 25000000 | x | x | + | 1 1000000 | − | 1 1000000 | x | − | 1 1000000 | x | ( | 1 | − | x | ) | + | 27 25000000 | x | ( | 1 | − | x | ) |
| = | 9 25000000 | x | x | + | 1 1000000 | − | 1 1000000 | x | − | 1 1000000 | x | × | 1 | + | 1 1000000 | x | x |
| = | 9 25000000 | x | x | + | 1 1000000 | − | 1 1000000 | x | − | 1 1000000 | x | + | 1 1000000 | x | x | + | 27 25000000 |
| = | 9 25000000 | x | x | + | 1 1000000 | − | 1 500000 | x | + | 1 1000000 | x | x | + | 27 25000000 | x | ( | 1 | − | x | ) |
| = | 9 25000000 | x | x | + | 1 1000000 | − | 1 500000 | x | + | 1 1000000 | x | x | + | 27 25000000 | x | × | 1 |
| = | 9 25000000 | x | x | + | 1 1000000 | − | 1 500000 | x | + | 1 1000000 | x | x | + | 27 25000000 | x | − | 27 25000000 |
After the equation is converted into a general formula, it is converted into:
( 1000000x - 760259 )( 550x - 1389 )=0
From
1000000x - 760259 = 0
550x - 1389 = 0
it is concluded that:：
| x1= | 760259 1000000 |
| x2= | 1389 550 |
There are 2 solution(s).
解一元二次方程的详细方法请参阅：《一元二次方程的解法》