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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 -9.1445x2+11.997x = -0.7221x2+0.8578x+0.4062 .
Question type: Equation
Solution:Original question:
| - | 18289 2000 | x | × | 2 | + | 11997 1000 | x | = | - | 7221 10000 | x | × | 2 | + | 4289 5000 | x | + | 2031 5000 |
| Left side of the equation = | - | 18289 1000 | x | + | 11997 1000 | x |
| = | - | 1573 250 | x |
| - | 1573 250 | x | = | - | 7221 10000 | x | × | 2 | + | 4289 5000 | x | + | 2031 5000 |
| Right side of the equation = | - | 7221 5000 | x | + | 4289 5000 | x | + | 2031 5000 |
| = | - | 733 1250 | x | + | 2031 5000 |
| - | 1573 250 | x | = | - | 733 1250 | x | + | 2031 5000 |
Transposition :
| - | 1573 250 | x | + | 733 1250 | x | = | 2031 5000 |
Combine the items on the left of the equation:
| - | 3566 625 | x | = | 2031 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 2031 5000 | = | 3566 625 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
3566 625 | x | = | - | 2031 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 2031 5000 | ÷ | 3566 625 |
| = | - | 2031 5000 | × | 625 3566 |
| = | - | 2031 8 | × | 1 3566 |
We obtained :
| x | = | - | 2031 28528 |
Convert the result to decimal form :
| x | = | - 0.071193 |