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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 0.5*(17.065*1.739-17.213*0.557)y*y*(1/3)y = 149.17y .
Question type: Equation
Solution:Original question:
1 2 | ( | 3413 200 | × | 1739 1000 | − | 17213 1000 | × | 557 1000 | ) | y | y | ( | 1 | ÷ | 3 | ) | y | = | 14917 100 | y |
| Left side of the equation = | 1 2 | × | 3413 200 | × | 1739 1000 | y | y | ( | 1 | ÷ | 3 | ) | y | − | 1 2 | × | 17213 1000 | × | 557 1000 | y | y |
| = | 5935207 400000 | y | y | ( | 1 | ÷ | 3 | ) | y | − | 9587641 2000000 | y | y | ( | 1 | ÷ | 3 | ) | y |
| = | 5935207 400000 | y | y | × | 1 | ÷ | 3 | × | y | − | 9587641 2000000 | y | y | ( | 1 | ÷ | 3 | ) | y |
| = | 5935207 1200000 | y | y | y | − | 9587641 2000000 | y | y | ( | 1 | ÷ | 3 | ) | y |
| = | 5935207 1200000 | y | y | y | − | 9587641 2000000 | y | y | × | 1 | ÷ | 3 | × | y |
| = | 5935207 1200000 | y | y | y | − | 9587641 6000000 | y | y | y |
5935207 1200000 | y | y | y | − | 9587641 6000000 | y | y | y | = | 14917 100 | y |
After the equation is converted into a general formula, there is a common factor:
( y - 0 )
From
y - 0 = 0
it is concluded that:：
| y1=0 |
Solutions that cannot be obtained by factorization:
y2≈-6.674885 , keep 6 decimal places
y3≈6.674885 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》