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 （5.98+21.32X）*（29.32+21.32X）÷（21.32-21.32X）÷（25.79-21.32X） = 13.2 .
Question type: Equation
Solution:Original question:
| ( | 299 50 | + | 533 25 | X | ) | ( | 733 25 | + | 533 25 | X | ) | ÷ | ( | 533 25 | − | 533 25 | X | ) | ÷ | ( | 2579 100 | − | 533 25 | X | ) | = | 66 5 |
| Multiply both sides of the equation by: | ( | 533 25 | − | 533 25 | X | ) |
| ( | 299 50 | + | 533 25 | X | ) | ( | 733 25 | + | 533 25 | X | ) | ÷ | ( | 2579 100 | − | 533 25 | X | ) | = | 66 5 | ( | 533 25 | − | 533 25 | X | ) |
299 50 | ( | 733 25 | + | 533 25 | X | ) | ÷ | ( | 2579 100 | − | 533 25 | X | ) | + | 533 25 | X | ( | 733 25 | + | 533 25 | X | ) | ÷ | ( | 2579 100 | − | 533 25 | X | ) | = | 66 5 | ( | 533 25 | − | 533 25 | X | ) |
299 50 | ( | 733 25 | + | 533 25 | X | ) | ÷ | ( | 2579 100 | − | 533 25 | X | ) | + | 533 25 | X | ( | 733 25 | + | 533 25 | X | ) | ÷ | ( | 2579 100 | − | 533 25 | X | ) | = | 66 5 | × | 533 25 | − | 66 5 | × | 533 25 | X |
299 50 | ( | 733 25 | + | 533 25 | X | ) | ÷ | ( | 2579 100 | − | 533 25 | X | ) | + | 533 25 | X | ( | 733 25 | + | 533 25 | X | ) | ÷ | ( | 2579 100 | − | 533 25 | X | ) | = | 35178 125 | − | 35178 125 | X |
| Multiply both sides of the equation by: | ( | 2579 100 | − | 533 25 | X | ) |
299 50 | ( | 733 25 | + | 533 25 | X | ) | + | 533 25 | X | ( | 733 25 | + | 533 25 | X | ) | = | 35178 125 | ( | 2579 100 | − | 533 25 | X | ) | − | 35178 125 | X | ( | 2579 100 | − | 533 25 | X | ) |
299 50 | × | 733 25 | + | 299 50 | × | 533 25 | X | + | 533 25 | X | ( | 733 25 | + | 533 25 | X | ) | = | 35178 125 | ( | 2579 100 | − | 533 25 | X | ) | − | 35178 125 | X | ( | 2579 100 | − | 533 25 | X | ) |
299 50 | × | 733 25 | + | 299 50 | × | 533 25 | X | + | 533 25 | X | ( | 733 25 | + | 533 25 | X | ) | = | 35178 125 | × | 2579 100 | − | 35178 125 | × | 533 25 | X | − | 35178 125 | X | ( | 2579 100 | − | 533 25 | X | ) |
219167 1250 | + | 159367 1250 | X | + | 533 25 | X | ( | 733 25 | + | 533 25 | X | ) | = | 45362031 6250 | − | 18749874 3125 | X | − | 35178 125 | X | ( | 2579 100 | − | 533 25 | X | ) |
219167 1250 | + | 159367 1250 | X | + | 533 25 | X | × | 733 25 | + | 533 25 | X | × | 533 25 | X | = | 45362031 6250 | − | 18749874 3125 | X | − | 35178 125 | X | ( | 2579 100 | − | 533 25 | X | ) |
219167 1250 | + | 159367 1250 | X | + | 533 25 | X | × | 733 25 | + | 533 25 | X | × | 533 25 | X | = | 45362031 6250 | − | 18749874 3125 | X | − | 35178 125 | X | × | 2579 100 | + | 35178 125 | X | × | 533 25 | X |
219167 1250 | + | 159367 1250 | X | + | 390689 625 | X | + | 284089 625 | X | X | = | 45362031 6250 | − | 18749874 3125 | X | − | 45362031 6250 | X | + | 18749874 3125 | X | X |
The solution of the equation:
X1≈0.698802 , keep 6 decimal places
X2≈1.209662 , keep 6 decimal places
X3≈1.827695 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》