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 6（2.5x-100） = 5*1.176（2.5x-1） .
Question type: Equation
Solution:Original question:
| 6 | ( | 5 2 | x | − | 100 | ) | = | 5 | × | 147 125 | ( | 5 2 | x | − | 1 | ) |
| Left side of the equation = | 6 | × | 5 2 | x | − | 6 | × | 100 |
| = | 15 | x | − | 600 |
| 15 | x | − | 600 | = | 5 | × | 147 125 | ( | 5 2 | x | − | 1 | ) |
| Right side of the equation = | 147 25 | ( | 5 2 | x | − | 1 | ) |
| 15 | x | − | 600 | = | 147 25 | ( | 5 2 | x | − | 1 | ) |
| Right side of the equation = | 147 25 | × | 5 2 | x | − | 147 25 | × | 1 |
| = | 147 10 | x | − | 147 25 |
| 15 | x | − | 600 | = | 147 10 | x | − | 147 25 |
Transposition :
| 15 | x | − | 147 10 | x | = | - | 147 25 | + | 600 |
Combine the items on the left of the equation:
3 10 | x | = | - | 147 25 | + | 600 |
Combine the items on the right of the equation:
3 10 | x | = | 14853 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 14853 25 | ÷ | 3 10 |
| = | 14853 25 | × | 10 3 |
| = | 4951 5 | × | 2 |
We obtained :
| x | = | 9902 5 |
Convert the result to decimal form :
| x | = | 1980.4 |