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 60x+144*（x-83.33）+132*(x-83.33*2)+48*(x-83.33*3)+101*(x-125) = 1834668 .
Question type: Equation
Solution:Original question:
| 60 | x | + | 144 | ( | x | − | 8333 100 | ) | + | 132 | ( | x | − | 8333 100 | × | 2 | ) | + | 48 | ( | x | − | 8333 100 | × | 3 | ) | + | 101 | ( | x | − | 125 | ) | = | 1834668 |
| Left side of the equation = | 60 | x | + | 144 | x | − | 144 | × | 8333 100 | + | 132 | ( | x | − | 8333 100 | × | 2 | ) | + | 48 | ( | x | − | 8333 100 | × | 3 | ) | + | 101 | ( | x | − | 125 | ) |
| = | 60 | x | + | 144 | x | − | 299988 25 | + | 132 | ( | x | − | 8333 100 | × | 2 | ) | + | 48 | ( | x | − | 8333 100 | × | 3 | ) | + | 101 | ( | x | − | 125 | ) |
| = | 204 | x | − | 299988 25 | + | 132 | ( | x | − | 8333 100 | × | 2 | ) | + | 48 | ( | x | − | 8333 100 | × | 3 | ) | + | 101 | ( | x | − | 125 | ) |
| = | 204 | x | − | 299988 25 | + | 132 | x | − | 132 | × | 8333 100 | × | 2 | + | 48 | ( | x | − | 8333 100 | × | 3 | ) | + | 101 | ( | x | − | 125 | ) |
| = | 204 | x | − | 299988 25 | + | 132 | x | − | 549978 25 | + | 48 | ( | x | − | 8333 100 | × | 3 | ) | + | 101 | ( | x | − | 125 | ) |
| = | 336 | x | − | 849966 25 | + | 48 | ( | x | − | 8333 100 | × | 3 | ) | + | 101 | ( | x | − | 125 | ) |
| = | 336 | x | − | 849966 25 | + | 48 | x | − | 48 | × | 8333 100 | × | 3 | + | 101 | ( | x | − | 125 | ) |
| = | 336 | x | − | 849966 25 | + | 48 | x | − | 299988 25 | + | 101 | ( | x | − | 125 | ) |
| = | 384 | x | − | 1149954 25 | + | 101 | ( | x | − | 125 | ) |
| = | 384 | x | − | 1149954 25 | + | 101 | x | − | 101 | × | 125 |
| = | 384 | x | − | 1149954 25 | + | 101 | x | − | 12625 |
| = | 485 | x | − | 1465579 25 |
| 485 | x | − | 1465579 25 | = | 1834668 |
Transposition :
| 485 | x | = | 1834668 | + | 1465579 25 |
Combine the items on the right of the equation:
| 485 | x | = | 47332279 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 47332279 25 | ÷ | 485 |
| = | 47332279 25 | × | 1 485 |
We obtained :
| x | = | 47332279 12125 |
Convert the result to decimal form :
| x | = | 3903.693113 |