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 2-0.915a+0.028×（（2+a）×（1-a）×（1-a）÷0.109-（2-3a）） = 0.583×2×1.232 .
Question type: Equation
Solution:Original question:
| 2 | − | 183 200 | a | + | 7 250 | ( | ( | 2 | + | a | ) | ( | 1 | − | a | ) | ( | 1 | − | a | ) | ÷ | 109 1000 | − | ( | 2 | − | 3 | a | ) | ) | = | 583 1000 | × | 2 | × | 154 125 |
| Left side of the equation = | 2 | − | 183 200 | a | + | 7 250 | ( | 2 | + | a | ) | ( | 1 | − | a | ) | ( | 1 | − | a | ) | ÷ | 109 1000 | − | 7 250 | ( | 2 | − | 3 | a | ) |
| = | 2 | − | 183 200 | a | + | 28 109 | ( | 2 | + | a | ) | ( | 1 | − | a | ) | ( | 1 | − | a | ) | − | 7 250 | ( | 2 | − | 3 | a | ) |
| = | 2 | − | 183 200 | a | + | 28 109 | × | 2 | ( | 1 | − | a | ) | ( | 1 | − | a | ) | + | 28 109 | a | ( | 1 | − | a | ) | ( | 1 | − | a | ) | − | 7 250 |
| = | 2 | − | 183 200 | a | + | 56 109 | ( | 1 | − | a | ) | ( | 1 | − | a | ) | + | 28 109 | a | ( | 1 | − | a | ) | ( | 1 | − | a | ) | − | 7 250 | ( | 2 | − | 3 | a | ) |
| = | 2 | − | 183 200 | a | + | 56 109 | × | 1 | ( | 1 | − | a | ) | − | 56 109 | a | ( | 1 | − | a | ) | + | 28 109 | a | ( | 1 | − | a | ) |
| = | 2 | − | 183 200 | a | + | 56 109 | ( | 1 | − | a | ) | − | 56 109 | a | ( | 1 | − | a | ) | + | 28 109 | a | ( | 1 | − | a | ) | ( | 1 | − | a | ) |
| = | 2 | − | 183 200 | a | + | 56 109 | × | 1 | − | 56 109 | a | − | 56 109 | a | ( | 1 | − | a | ) | + | 28 109 | a |
| = | 2 | − | 183 200 | a | + | 56 109 | − | 56 109 | a | − | 56 109 | a | ( | 1 | − | a | ) | + | 28 109 | a | ( | 1 | − | a | ) |
| = | 274 109 | − | 31147 21800 | a | − | 56 109 | a | ( | 1 | − | a | ) | + | 28 109 | a | ( | 1 | − | a | ) | ( | 1 | − | a | ) | − | 7 250 | ( | 2 | − | 3 | a | ) |
| = | 274 109 | − | 31147 21800 | a | − | 56 109 | a | × | 1 | + | 56 109 | a | a | + | 28 109 | a | ( | 1 | − | a | ) |
| = | 274 109 | − | 31147 21800 | a | − | 56 109 | a | + | 56 109 | a | a | + | 28 109 | a | ( | 1 | − | a | ) | ( | 1 | − | a | ) |
| = | 274 109 | − | 42347 21800 | a | + | 56 109 | a | a | + | 28 109 | a | ( | 1 | − | a | ) | ( | 1 | − | a | ) | − | 7 250 | ( | 2 | − | 3 | a | ) |
| = | 274 109 | − | 42347 21800 | a | + | 56 109 | a | a | + | 28 109 | a | × | 1 | ( | 1 | − | a | ) | − | 28 109 | a |
| = | 274 109 | − | 42347 21800 | a | + | 56 109 | a | a | + | 28 109 | a | ( | 1 | − | a | ) | − | 28 109 | a | a |
| = | 274 109 | − | 42347 21800 | a | + | 56 109 | a | a | + | 28 109 | a | × | 1 | − | 28 109 | a | a |
| = | 274 109 | − | 42347 21800 | a | + | 56 109 | a | a | + | 28 109 | a | − | 28 109 | a | a | − | 28 109 |
| = | 274 109 | − | 36747 21800 | a | + | 56 109 | a | a | − | 28 109 | a | a | − | 28 109 | a | a |
| = | 274 109 | − | 36747 21800 | a | + | 56 109 | a | a | − | 28 109 | a | a | − | 28 109 | a | a |
| = | 274 109 | − | 36747 21800 | a | + | 56 109 | a | a | − | 28 109 | a | a | − | 28 109 | a | a |
| = | 274 109 | − | 36747 21800 | a | + | 56 109 | a | a | − | 28 109 | a | a | − | 28 109 | a | a |
| = | 274 109 | − | 36747 21800 | a | + | 56 109 | a | a | − | 28 109 | a | a | − | 28 109 | a | a |
| = | 33487 13625 | − | 174579 109000 | a | + | 56 109 | a | a | − | 28 109 | a | a | − | 28 109 | a | a |
33487 13625 | − | 174579 109000 | a | + | 56 109 | a | a | − | 28 109 | a | a | − | 28 109 | a | a | = | 583 1000 | × | 2 | × | 154 125 |
| Right side of the equation = | 44891 31250 |
33487 13625 | − | 174579 109000 | a | + | 56 109 | a | a | − | 28 109 | a | a | − | 28 109 | a | a | = | 44891 31250 |
33487 13625 | − | 174579 109000 | a | + | 56 109 | a | a | − | 28 109 | a | a | − | 28 109 | a | a | = | 44891 31250 |
The solution of the equation:
a1≈-2.769553 , keep 6 decimal places
a2≈0.690408 , keep 6 decimal places
a3≈2.079145 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》