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 (X-245.05)*(1280-X) = (X-820)*(313.9-X) .
Question type: Equation
Solution:Original question:
| ( | X | − | 4901 20 | ) | ( | 1280 | − | X | ) | = | ( | X | − | 820 | ) | ( | 3139 10 | − | X | ) |
| Left side of the equation = | X | ( | 1280 | − | X | ) | − | 4901 20 | ( | 1280 | − | X | ) |
| = | X | × | 1280 | − | X | X | − | 4901 20 | ( | 1280 | − | X | ) |
| = | 1280 | X | − | X | X | − | 4901 20 | × | 1280 | + | 4901 20 | X |
| = | 1280 | X | − | X | X | − | 313664 | + | 4901 20 | X |
| = | 30501 20 | X | − | X | X | − | 313664 |
30501 20 | X | − | X | X | − | 313664 | = | ( | X | − | 820 | ) | ( | 3139 10 | − | X | ) |
| Right side of the equation = | X | ( | 3139 10 | − | X | ) | − | 820 | ( | 3139 10 | − | X | ) |
| = | X | × | 3139 10 | − | X | X | − | 820 | ( | 3139 10 | − | X | ) |
| = | 3139 10 | X | − | X | X | − | 820 | × | 3139 10 | + | 820 | X |
| = | 3139 10 | X | − | X | X | − | 257398 | + | 820 | X |
| = | 11339 10 | X | − | X | X | − | 257398 |
30501 20 | X | − | X | X | − | 313664 | = | 11339 10 | X | − | X | X | − | 257398 |
X≈143.847629 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》