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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 (206+9*x)*(2.554-0.074*x) = 0 .
Question type: Equation
Solution:Original question:
| ( | 206 | + | 9 | x | ) | ( | 1277 500 | − | 37 500 | x | ) | = | 0 |
| Left side of the equation = | 206 | ( | 1277 500 | − | 37 500 | x | ) | + | 9 | x | ( | 1277 500 | − | 37 500 | x | ) |
| = | 206 | × | 1277 500 | − | 206 | × | 37 500 | x | + | 9 | x | ( | 1277 500 | − | 37 500 | x | ) |
| = | 131531 250 | − | 3811 250 | x | + | 9 | x | ( | 1277 500 | − | 37 500 | x | ) |
| = | 131531 250 | − | 3811 250 | x | + | 9 | x | × | 1277 500 | − | 9 | x | × | 37 500 | x |
| = | 131531 250 | − | 3811 250 | x | + | 11493 500 | x | − | 333 500 | x | x |
| = | 131531 250 | + | 3871 500 | x | − | 333 500 | x | x |
131531 250 | + | 3871 500 | x | − | 333 500 | x | x | = | 0 |
After the equation is converted into a general formula, it is converted into:
( 9x + 206 )( 37x - 1277 )=0
From
9x + 206 = 0
37x - 1277 = 0
it is concluded that:：
| x1= | - | 206 9 |
| x2= | 1277 37 |
There are 2 solution(s).
解一元二次方程的详细方法请参阅：《一元二次方程的解法》