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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 = 1.2*2*(1.622+0.654-x)*[2.36+1.5*(1.622+0.654-x)] .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
The equation is transformed into :
Remove the bracket on the right of the equation:
The solution of the equation:
x1≈1.510610 , keep 6 decimal places
x2≈9.942343 , 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 = 1.2*2*(1.622+0.654-x)*[2.36+1.5*(1.622+0.654-x)] .
Question type: Equation
Solution:Original question:
| ( | 2 | + | 3 2 | x | ) | x | = | 6 5 | × | 2 | ( | 811 500 | + | 327 500 | − | x | ) | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) |
| Left side of the equation = | 2 | x | + | 3 2 | x | x |
| 2 | x | + | 3 2 | x | x | = | 6 5 | × | 2 | ( | 811 500 | + | 327 500 | − | x | ) | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) |
| Right side of the equation = | 12 5 | ( | 811 500 | + | 327 500 | − | x | ) | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) |
| 2 | x | + | 3 2 | x | x | = | 12 5 | ( | 811 500 | + | 327 500 | − | x | ) | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) |
| Right side of the equation = | 12 5 | × | 811 500 | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) | + | 12 5 | × | 327 500 | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) | − | 12 5 | x | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) |
| = | 2433 625 | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) | + | 981 625 | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) | − | 12 5 | x | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) |
| = | 2433 625 | × | 59 25 | + | 2433 625 | × | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | + | 981 625 | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) | − | 12 5 | x | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) |
| = | 143547 15625 | + | 7299 1250 | ( | 811 500 | + | 327 500 | − | x | ) | + | 981 625 | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) | − | 12 5 | x | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) |
| = | 143547 15625 | + | 7299 1250 | × | 811 500 | + | 7299 1250 | × | 327 500 | − | 7299 1250 | x | + | 981 625 | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) | − | 12 5 | x | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) |
| = | 143547 15625 | + | 5919489 625000 | + | 2386773 625000 | − | 7299 1250 | x | + | 981 625 | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) | − | 12 5 | x | ( | 59 25 | + | 3 2 | ( | 811 500 | + | 327 500 | − | x | ) | ) |
The solution of the equation:
x1≈1.510610 , keep 6 decimal places
x2≈9.942343 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》