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Work: Find the solution of equation z = 0.05654+(0.05654+z)*z*(1+0.05654-z)/5.4520/0.05654 .
Question type: Equation
Solution:Original question:| | z | = | 2827 50000 | + | ( | 2827 50000 | + | z | ) | z | ( | 1 | + | 2827 50000 | − | z | ) | ÷ | 1363 250 | ÷ | 2827 50000 |
| Right side of the equation = | 2827 50000 | + | ( | 2827 50000 | + | z | ) | z | ( | 1 | + | 2827 50000 | − | z | ) | × | 12500000 3853201 |
The equation is transformed into :
| | z | = | 2827 50000 | + | ( | 2827 50000 | + | z | ) | z | ( | 1 | + | 2827 50000 | − | z | ) | × | 12500000 3853201 |
Remove the bracket on the right of the equation:
| Right side of the equation = | 2827 50000 | + | 2827 50000 | z | ( | 1 | + | 2827 50000 | − | z | ) | × | 12500000 3853201 | + | z | z | ( | 1 | + | 2827 50000 | − | z | ) | × | 12500000 3853201 |
The solution of the equation:
z1≈0.125796 , keep 6 decimal places
z2≈0.207950 , keep 6 decimal places
z3≈0.666253 , keep 6 decimal places
There are 3 solution(s).
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