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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 100p = 0.413(200-p)(100-p) .
Question type: Equation
Solution:Original question:
Remove the bracket on the right of the equation:
The equation is transformed into :
p≈39.815645 , 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》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 100p = 0.413(200-p)(100-p) .
Question type: Equation
Solution:Original question:
| 100 | p | = | 413 1000 | ( | 200 | − | p | ) | ( | 100 | − | p | ) |
| Right side of the equation = | 413 1000 | × | 200 | ( | 100 | − | p | ) | − | 413 1000 | p | ( | 100 | − | p | ) |
| = | 413 5 | ( | 100 | − | p | ) | − | 413 1000 | p | ( | 100 | − | p | ) |
| = | 413 5 | × | 100 | − | 413 5 | p | − | 413 1000 | p | ( | 100 | − | p | ) |
| = | 8260 | − | 413 5 | p | − | 413 1000 | p | ( | 100 | − | p | ) |
| = | 8260 | − | 413 5 | p | − | 413 1000 | p | × | 100 | + | 413 1000 | p | p |
| = | 8260 | − | 413 5 | p | − | 413 10 | p | + | 413 1000 | p | p |
| = | 8260 | − | 1239 10 | p | + | 413 1000 | p | p |
| 100 | p | = | 8260 | − | 1239 10 | p | + | 413 1000 | p | p |
p≈39.815645 , 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》