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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 199.65+(104.44+10.9x)(x+3)/2 = (107.7x+38.21x*x)/2 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
The solution of the equation:
x1≈-4.597564 , keep 6 decimal places
x2≈5.675557 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 199.65+(104.44+10.9x)(x+3)/2 = (107.7x+38.21x*x)/2 .
Question type: Equation
Solution:Original question:
3993 20 | + | ( | 2611 25 | + | 109 10 | x | ) | ( | x | + | 3 | ) | ÷ | 2 | = | ( | 1077 10 | x | + | 3821 100 | x | x | ) | ÷ | 2 |
| Left side of the equation = | 3993 20 | + | 2611 25 | ( | x | + | 3 | ) | × | 1 2 | + | 109 10 | x | ( | x | + | 3 | ) | × | 1 2 |
| = | 3993 20 | + | 2611 50 | ( | x | + | 3 | ) | + | 109 20 | x | ( | x | + | 3 | ) |
| = | 3993 20 | + | 2611 50 | x | + | 2611 50 | × | 3 | + | 109 20 | x | ( | x | + | 3 | ) |
| = | 3993 20 | + | 2611 50 | x | + | 7833 50 | + | 109 20 | x | ( | x | + | 3 | ) |
| = | 35631 100 | + | 2611 50 | x | + | 109 20 | x | ( | x | + | 3 | ) |
| = | 35631 100 | + | 2611 50 | x | + | 109 20 | x | x | + | 109 20 | x | × | 3 |
| = | 35631 100 | + | 2611 50 | x | + | 109 20 | x | x | + | 327 20 | x |
| = | 35631 100 | + | 6857 100 | x | + | 109 20 | x | x |
35631 100 | + | 6857 100 | x | + | 109 20 | x | x | = | ( | 1077 10 | x | + | 3821 100 | x | x | ) | ÷ | 2 |
| Right side of the equation = | 1077 10 | x | × | 1 2 | + | 3821 100 | x | x | × | 1 2 |
| = | 1077 20 | x | + | 3821 200 | x | x |
35631 100 | + | 6857 100 | x | + | 109 20 | x | x | = | 1077 20 | x | + | 3821 200 | x | x |
The solution of the equation:
x1≈-4.597564 , keep 6 decimal places
x2≈5.675557 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》