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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 115*1.5*(0.63*(x-0.43)-0.63*0.63/2)*(1+0.06x) = 90*(2.1-x-0.5)*(1-0.1x+0.25) .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The solution of the equation:
x1≈1.145188 , keep 6 decimal places
x2≈91.904712 , 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 115*1.5*(0.63*(x-0.43)-0.63*0.63/2)*(1+0.06x) = 90*(2.1-x-0.5)*(1-0.1x+0.25) .
Question type: Equation
Solution:Original question:
| 115 | × | 3 2 | ( | 63 100 | ( | x | − | 43 100 | ) | − | 63 100 | × | 63 100 | ÷ | 2 | ) | ( | 1 | + | 3 50 | x | ) | = | 90 | ( | 21 10 | − | x | − | 1 2 | ) | ( | 1 | − | 1 10 | x | + | 1 4 | ) |
| Left side of the equation = | 345 2 | ( | 63 100 | ( | x | − | 43 100 | ) | − | 63 100 | × | 63 100 | ÷ | 2 | ) | ( | 1 | + | 3 50 | x | ) |
345 2 | ( | 63 100 | ( | x | − | 43 100 | ) | − | 63 100 | × | 63 100 | ÷ | 2 | ) | ( | 1 | + | 3 50 | x | ) | = | 90 | ( | 21 10 | − | x | − | 1 2 | ) | ( | 1 | − | 1 10 | x | + | 1 4 | ) |
| Left side of the equation = | 345 2 | × | 63 100 | ( | x | − | 43 100 | ) | ( | 1 | + | 3 50 | x | ) | − | 345 2 | × | 63 100 | × | 63 100 | ÷ | 2 | × | ( | 1 | + | 3 50 | x | ) |
| = | 4347 40 | ( | x | − | 43 100 | ) | ( | 1 | + | 3 50 | x | ) | − | 273861 8000 | ( | 1 | + | 3 50 | x | ) |
| = | 4347 40 | x | ( | 1 | + | 3 50 | x | ) | − | 4347 40 | × | 43 100 | ( | 1 | + | 3 50 | x | ) | − | 273861 8000 | ( | 1 | + | 3 50 | x | ) |
| = | 4347 40 | x | ( | 1 | + | 3 50 | x | ) | − | 186921 4000 | ( | 1 | + | 3 50 | x | ) | − | 273861 8000 | ( | 1 | + | 3 50 | x | ) |
| = | 4347 40 | x | × | 1 | + | 4347 40 | x | × | 3 50 | x | − | 186921 4000 | ( | 1 | + | 3 50 | x | ) | − | 273861 8000 | ( | 1 | + | 3 50 | x | ) |
| = | 4347 40 | x | + | 13041 2000 | x | x | − | 186921 4000 | ( | 1 | + | 3 50 | x | ) | − | 273861 8000 | ( | 1 | + | 3 50 | x | ) |
| = | 4347 40 | x | + | 13041 2000 | x | x | − | 186921 4000 | × | 1 | − | 186921 4000 | × | 3 50 | x | − | 273861 8000 | ( | 1 | + | 3 50 | x | ) |
| = | 4347 40 | x | + | 13041 2000 | x | x | − | 186921 4000 | − | 560763 200000 | x | − | 273861 8000 | ( | 1 | + | 3 50 | x | ) |
| = | 21174237 200000 | x | + | 13041 2000 | x | x | − | 186921 4000 | − | 273861 8000 | ( | 1 | + | 3 50 | x | ) |
| = | 21174237 200000 | x | + | 13041 2000 | x | x | − | 186921 4000 | − | 273861 8000 | × | 1 | − | 273861 8000 | × | 3 50 | x |
| = | 21174237 200000 | x | + | 13041 2000 | x | x | − | 186921 4000 | − | 273861 8000 | − | 821583 400000 | x |
The solution of the equation:
x1≈1.145188 , keep 6 decimal places
x2≈91.904712 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》