Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 114p+1.96*114(p)(1-p) = 114 .
Question type: Equation
Solution:Original question:
| 114 | p | + | 49 25 | × | 114 | ( | p | ) | ( | 1 | − | p | ) | = | 114 |
| Left side of the equation = | 114 | p | + | 5586 25 | ( | p | ) | ( | 1 | − | p | ) |
| 114 | p | + | 5586 25 | ( | p | ) | ( | 1 | − | p | ) | = | 114 |
| Left side of the equation = | 114 | p | + | 5586 25 | p | ( | 1 | − | p | ) |
| = | 114 | p | + | 5586 25 | p | × | 1 | − | 5586 25 | p | p |
| = | 114 | p | + | 5586 25 | p | − | 5586 25 | p | p |
| = | 8436 25 | p | − | 5586 25 | p | p |
8436 25 | p | − | 5586 25 | p | p | = | 114 |
After the equation is converted into a general formula, there is a common factor:
( p - 1 )
From
p - 1 = 0
it is concluded that:：
| p1=1 |
Solutions that cannot be obtained by factorization:
p2≈0.510204 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》