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 (0.75*(x-888)-600)/1000 = (0.75*(x-600)-600)/1400 .
Question type: Equation
Solution:Original question:
| ( | 3 4 | ( | x | − | 888 | ) | − | 600 | ) | ÷ | 1000 | = | ( | 3 4 | ( | x | − | 600 | ) | − | 600 | ) | ÷ | 1400 |
| Left side of the equation = | 3 4 | ( | x | − | 888 | ) | × | 1 1000 | − | 600 | × | 1 1000 |
| = | 3 4000 | ( | x | − | 888 | ) | − | 3 5 |
| = | 3 4000 | x | − | 3 4000 | × | 888 | − | 3 5 |
| = | 3 4000 | x | − | 333 500 | − | 3 5 |
| = | 3 4000 | x | − | 633 500 |
3 4000 | x | − | 633 500 | = | ( | 3 4 | ( | x | − | 600 | ) | − | 600 | ) | ÷ | 1400 |
| Right side of the equation = | 3 4 | ( | x | − | 600 | ) | × | 1 1400 | − | 600 | × | 1 1400 |
| = | 3 5600 | ( | x | − | 600 | ) | − | 3 7 |
| = | 3 5600 | x | − | 3 5600 | × | 600 | − | 3 7 |
| = | 3 5600 | x | − | 9 28 | − | 3 7 |
| = | 3 5600 | x | − | 3 4 |
3 4000 | x | − | 633 500 | = | 3 5600 | x | − | 3 4 |
Transposition :
3 4000 | x | − | 3 5600 | x | = | - | 3 4 | + | 633 500 |
Combine the items on the left of the equation:
3 14000 | x | = | - | 3 4 | + | 633 500 |
Combine the items on the right of the equation:
3 14000 | x | = | 129 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 129 250 | ÷ | 3 14000 |
| = | 129 250 | × | 14000 3 |
| = | 43 | × | 56 |
We obtained :
| x | = | 2408 |