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 (64.27-y)/y = -0.0426-(y-67.13)/67.13 .
Question type: Equation
Solution:Original question:
| ( | 6427 100 | − | y | ) | ÷ | y | = | - | 213 5000 | − | ( | y | − | 6713 100 | ) | ÷ | 6713 100 |
| Multiply both sides of the equation by: | y |
| ( | 6427 100 | − | y | ) | = | - | 213 5000 | y | − | ( | y | − | 6713 100 | ) | ÷ | 6713 100 | × | y |
6427 100 | − | y | = | - | 213 5000 | y | − | ( | y | − | 6713 100 | ) | ÷ | 6713 100 | × | y |
6427 100 | − | y | = | - | 213 5000 | y | − | y | ÷ | 6713 100 | × | y | + | 6713 100 | ÷ | 6713 100 | × | y |
6427 100 | − | y | = | - | 213 5000 | y | − | y | × | 100 6713 | y | + | 1 | y |
6427 100 | − | y | = | 4787 5000 | y | − | y | × | 100 6713 | y |
After the equation is converted into a general formula, there is a common factor:
( 100y - √45072609 )
From
100y - √45072609 = 0
it is concluded that:：
| y1= | √45072609 100 |
Solutions that cannot be obtained by factorization:
y2≈64.264125 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》