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 0.9405 = 280*90*x/(286*96*(x+6)) .
Question type: Equation
Solution:Original question:
1881 2000 | = | 280 | × | 90 | x | ÷ | ( | 286 | × | 96 | ( | x | + | 6 | ) | ) |
| Multiply both sides of the equation by: | ( | 286 | × | 96 | ( | x | + | 6 | ) | ) |
1881 2000 | ( | 286 | × | 96 | ( | x | + | 6 | ) | ) | = | 280 | × | 90 | x |
1881 2000 | × | 286 | × | 96 | ( | x | + | 6 | ) | = | 280 | × | 90 | x |
3227796 125 | ( | x | + | 6 | ) | = | 25200 | x |
3227796 125 | x | + | 3227796 125 | × | 6 | = | 25200 | x |
3227796 125 | x | + | 19366776 125 | = | 25200 | x |
Transposition :
3227796 125 | x | − | 25200 | x | = | - | 19366776 125 |
Combine the items on the left of the equation:
77796 125 | x | = | - | 19366776 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 19366776 125 | ÷ | 77796 125 |
| = | - | 19366776 125 | × | 125 77796 |
| = | - | 537966 | × | 1 2161 |
We obtained :
| x | = | - | 537966 2161 |
Convert the result to decimal form :
| x | = | - 248.943082 |