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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 -1.6596x2+2.4993x+0.1064 = (0.5-0.6*x)/0.4 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation -1.6596x2+2.4993x+0.1064 = (0.5-0.6*x)/0.4 .
Question type: Equation
Solution:Original question:
| - | 4149 2500 | x | × | 2 | + | 24993 10000 | x | + | 133 1250 | = | ( | 1 2 | − | 3 5 | x | ) | ÷ | 2 5 |
| Left side of the equation = | - | 4149 1250 | x | + | 24993 10000 | x | + | 133 1250 |
| = | - | 8199 10000 | x | + | 133 1250 |
| - | 8199 10000 | x | + | 133 1250 | = | ( | 1 2 | − | 3 5 | x | ) | ÷ | 2 5 |
| Right side of the equation = | 1 2 | × | 5 2 | − | 3 5 | x | × | 5 2 |
| = | 5 4 | − | 3 2 | x |
| - | 8199 10000 | x | + | 133 1250 | = | 5 4 | − | 3 2 | x |
Transposition :
| - | 8199 10000 | x | + | 3 2 | x | = | 5 4 | − | 133 1250 |
Combine the items on the left of the equation:
6801 10000 | x | = | 5 4 | − | 133 1250 |
Combine the items on the right of the equation:
6801 10000 | x | = | 2859 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2859 2500 | ÷ | 6801 10000 |
| = | 2859 2500 | × | 10000 6801 |
| = | 953 | × | 4 2267 |
We obtained :
| x | = | 3812 2267 |
Convert the result to decimal form :
| x | = | 1.681517 |