Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 （36.1+3.9x）*(293.6+7.8(24-x))/10000+1-(36.1+3.9x)/100 = 0 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The solution of the equation:
x1≈-14.451899 , keep 6 decimal places
x2≈54.016001 , 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 （36.1+3.9x）*(293.6+7.8(24-x))/10000+1-(36.1+3.9x)/100 = 0 .
Question type: Equation
Solution:Original question:
| ( | 361 10 | + | 39 10 | x | ) | ( | 1468 5 | + | 39 5 | ( | 24 | − | x | ) | ) | ÷ | 10000 | + | 1 | − | ( | 361 10 | + | 39 10 | x | ) | ÷ | 100 | = | 0 |
| Left side of the equation = | 361 10 | ( | 1468 5 | + | 39 5 | ( | 24 | − | x | ) | ) | × | 1 10000 | + | 39 10 | x | ( | 1468 5 | + | 39 5 | ( | 24 | − | x | ) | ) | × | 1 10000 | + | 1 | − | ( | 361 10 | + | 39 10 | x | ) | × | 1 100 |
| = | 361 100000 | ( | 1468 5 | + | 39 5 | ( | 24 | − | x | ) | ) | + | 39 100000 | x | ( | 1468 5 | + | 39 5 | ( | 24 | − | x | ) | ) | + | 1 | − | ( | 361 10 | + | 39 10 | x | ) | × | 1 100 |
| = | 361 100000 | × | 1468 5 | + | 361 100000 | × | 39 5 | ( | 24 | − | x | ) | + | 39 100000 | x | ( | 1468 5 | + | 39 5 | ( | 24 | − | x | ) | ) | + | 1 | − | ( | 361 10 | + | 39 10 | x | ) | × | 1 100 |
| = | 132487 125000 | + | 14079 500000 | ( | 24 | − | x | ) | + | 39 100000 | x | ( | 1468 5 | + | 39 5 | ( | 24 | − | x | ) | ) | + | 1 | − | ( | 361 10 | + | 39 10 | x | ) | × | 1 100 |
| = | 257487 125000 | + | 14079 500000 | ( | 24 | − | x | ) | + | 39 100000 | x | ( | 1468 5 | + | 39 5 | ( | 24 | − | x | ) | ) | − | ( | 361 10 | + | 39 10 | x | ) | × | 1 100 |
| = | 257487 125000 | + | 14079 500000 | × | 24 | − | 14079 500000 | x | + | 39 100000 | x | ( | 1468 5 | + | 39 5 | ( | 24 | − | x | ) | ) | − | ( | 361 10 | + | 39 10 | x | ) | × | 1 100 |
| = | 257487 125000 | + | 42237 62500 | − | 14079 500000 | x | + | 39 100000 | x | ( | 1468 5 | + | 39 5 | ( | 24 | − | x | ) | ) | − | ( | 361 10 | + | 39 10 | x | ) | × | 1 100 |
The solution of the equation:
x1≈-14.451899 , keep 6 decimal places
x2≈54.016001 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》