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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 (2+1.5*x)*x = 2.3*(3.0375-x)*[2.57+1.5*(3.0375-x)] .
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 solution of the equation:
x1≈1.992708 , keep 6 decimal places
x2≈12.812292 , 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 (2+1.5*x)*x = 2.3*(3.0375-x)*[2.57+1.5*(3.0375-x)] .
Question type: Equation
Solution:Original question:
| ( | 2 | + | 3 2 | x | ) | x | = | 23 10 | ( | 243 80 | − | x | ) | ( | 257 100 | + | 3 2 | ( | 243 80 | − | x | ) | ) |
| Left side of the equation = | 2 | x | + | 3 2 | x | x |
| 2 | x | + | 3 2 | x | x | = | 23 10 | ( | 243 80 | − | x | ) | ( | 257 100 | + | 3 2 | ( | 243 80 | − | x | ) | ) |
| Right side of the equation = | 23 10 | × | 243 80 | ( | 257 100 | + | 3 2 | ( | 243 80 | − | x | ) | ) | − | 23 10 | x | ( | 257 100 | + | 3 2 | ( | 243 80 | − | x | ) | ) |
| = | 5589 800 | ( | 257 100 | + | 3 2 | ( | 243 80 | − | x | ) | ) | − | 23 10 | x | ( | 257 100 | + | 3 2 | ( | 243 80 | − | x | ) | ) |
| = | 5589 800 | × | 257 100 | + | 5589 800 | × | 3 2 | ( | 243 80 | − | x | ) | − | 23 10 | x | ( | 257 100 | + | 3 2 | ( | 243 80 | − | x | ) | ) |
| = | 1436373 80000 | + | 16767 1600 | ( | 243 80 | − | x | ) | − | 23 10 | x | ( | 257 100 | + | 3 2 | ( | 243 80 | − | x | ) | ) |
| = | 1436373 80000 | + | 16767 1600 | × | 243 80 | − | 16767 1600 | x | − | 23 10 | x | ( | 257 100 | + | 3 2 | ( | 243 80 | − | x | ) | ) |
| = | 1436373 80000 | + | 4074381 128000 | − | 16767 1600 | x | − | 23 10 | x | ( | 257 100 | + | 3 2 | ( | 243 80 | − | x | ) | ) |
The solution of the equation:
x1≈1.992708 , keep 6 decimal places
x2≈12.812292 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》