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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 0.529553*(2-0.529553)*q*(2-q)+(1-0.529553)*(1-0.529553)*q*(2-q)+0.529553*(2-0.529553)*(1-q)*(1-q)+(1-0.529553)*(1-0.529553)*(1-q)*(1-q) = 1 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
After the equation is converted into a general formula, it is converted into:
( 1000000q + 787901 )( 1000000q + 787901 )( 500000q + 154321 )( 500000q + 154321 )( 50000q + 5139 )( 62500q - 679 )( 9999q - 1706 )( 9999q - 1706 )( 100000q - 33037 )( 1000000q - 490123 )=0
From
1000000q + 787901 = 0
1000000q + 787901 = 0
500000q + 154321 = 0
500000q + 154321 = 0
50000q + 5139 = 0
62500q - 679 = 0
9999q - 1706 = 0
9999q - 1706 = 0
100000q - 33037 = 0
1000000q - 490123 = 0
it is concluded that:：
There are 10 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 0.529553*(2-0.529553)*q*(2-q)+(1-0.529553)*(1-0.529553)*q*(2-q)+0.529553*(2-0.529553)*(1-q)*(1-q)+(1-0.529553)*(1-0.529553)*(1-q)*(1-q) = 1 .
Question type: Equation
Solution:Original question:
529553 1000000 | ( | 2 | − | 529553 1000000 | ) | q | ( | 2 | − | q | ) | + | ( | 1 | − | 529553 1000000 | ) | ( | 1 | − | 529553 1000000 | ) | q | ( | 2 | − | q | ) | + | 529553 1000000 | ( | 2 | − | 529553 1000000 | ) | ( | 1 | − | q | ) | ( | 1 | − | q | ) | = | 1 |
| Left side of the equation = | 529553 1000000 | × | 2 | q | ( | 2 | − | q | ) | − | 529553 1000000 | × | 529553 1000000 | q | ( | 2 | − | q | ) | + | ( | 1 | − | 529553 1000000 | ) | ( | 1 | − | 529553 1000000 | ) | q | ( | 2 | − | q | ) |
After the equation is converted into a general formula, it is converted into:
( 1000000q + 787901 )( 1000000q + 787901 )( 500000q + 154321 )( 500000q + 154321 )( 50000q + 5139 )( 62500q - 679 )( 9999q - 1706 )( 9999q - 1706 )( 100000q - 33037 )( 1000000q - 490123 )=0
From
1000000q + 787901 = 0
1000000q + 787901 = 0
500000q + 154321 = 0
500000q + 154321 = 0
50000q + 5139 = 0
62500q - 679 = 0
9999q - 1706 = 0
9999q - 1706 = 0
100000q - 33037 = 0
1000000q - 490123 = 0
it is concluded that:：
| q1= | - | 787901 1000000 |
| q2= | - | 787901 1000000 |
| q3= | - | 154321 500000 |
| q4= | - | 154321 500000 |
| q5= | - | 5139 50000 |
| q6= | 679 62500 |
| q7= | 1706 9999 |
| q8= | 1706 9999 |
| q9= | 33037 100000 |
| q10= | 490123 1000000 |
There are 10 solution(s).
解程的详细方法请参阅：《方程的解法》