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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 1.0983/(R+1.0983)-1/(R+1) = 0.00076876 .
Question type: Equation
Solution:Original question:
10983 10000 | ÷ | ( | R | + | 10983 10000 | ) | − | 1 | ÷ | ( | R | + | 1 | ) | = | 19219 25000000 |
| Multiply both sides of the equation by: | ( | R | + | 10983 10000 | ) |
10983 10000 | − | 1 | ÷ | ( | R | + | 1 | ) | × | ( | R | + | 10983 10000 | ) | = | 19219 25000000 | ( | R | + | 10983 10000 | ) |
10983 10000 | − | 1 | ÷ | ( | R | + | 1 | ) | × | R | − | 1 | ÷ | ( | R | + | 1 | ) | × | 10983 10000 | = | 19219 25000000 | ( | R | + | 10983 10000 | ) |
10983 10000 | − | 1 | ÷ | ( | R | + | 1 | ) | × | R | − | 1 | ÷ | ( | R | + | 1 | ) | × | 10983 10000 | = | 19219 25000000 | R | + | 19219 25000000 | × | 10983 10000 |
After the equation is converted into a general formula, there is a common factor:
( 500000R - 62880611 )
From
500000R - 62880611 = 0
it is concluded that:：
| R1= | 62880611 500000 |
Solutions that cannot be obtained by factorization:
R2≈0.008733 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》