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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 (714.3+185.7k)*(257.5-5.78k) = 32.143*714.95k .
Question type: Equation
Solution:Original question:
| ( | 7143 10 | + | 1857 10 | k | ) | ( | 515 2 | − | 289 50 | k | ) | = | 32143 1000 | × | 14299 20 | k |
| Left side of the equation = | 7143 10 | ( | 515 2 | − | 289 50 | k | ) | + | 1857 10 | k | ( | 515 2 | − | 289 50 | k | ) |
| = | 7143 10 | × | 515 2 | − | 7143 10 | × | 289 50 | k | + | 1857 10 | k | ( | 515 2 | − | 289 50 | k | ) |
| = | 735729 4 | − | 2064327 500 | k | + | 1857 10 | k | ( | 515 2 | − | 289 50 | k | ) |
| = | 735729 4 | − | 2064327 500 | k | + | 1857 10 | k | × | 515 2 | − | 1857 10 | k | × | 289 50 | k |
| = | 735729 4 | − | 2064327 500 | k | + | 191271 4 | k | − | 536673 500 | k | k |
| = | 735729 4 | + | 5461137 125 | k | − | 536673 500 | k | k |
735729 4 | + | 5461137 125 | k | − | 536673 500 | k | k | = | 32143 1000 | × | 14299 20 | k |
| Right side of the equation = | 459612757 20000 | k |
735729 4 | + | 5461137 125 | k | − | 536673 500 | k | k | = | 459612757 20000 | k |
The solution of the equation:
k1≈-6.614372 , keep 6 decimal places
k2≈25.907739 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》