Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 600—（30—3/2x）（20—x） = 114 .
Question type: Equation
Solution:Original question:| | 600 | − | ( | 30 | − | 3 | ÷ | 2 | × | x | ) | ( | 20 | − | x | ) | = | 114 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 600 | − | 30 | ( | 20 | − | x | ) | + | 3 | ÷ | 2 | × | x | ( | 20 | − | x | ) |
| = | 600 | − | 30 | ( | 20 | − | x | ) | + | 3 2 | x | ( | 20 | − | x | ) |
| = | 600 | − | 30 | × | 20 | + | 30 | x | + | 3 2 | x | ( | 20 | − | x | ) |
| = | 600 | − | 600 | + | 30 | x | + | 3 2 | x | ( | 20 | − | x | ) |
| = | 0 | + | 30 | x | + | 3 2 | x | ( | 20 | − | x | ) |
| = | 0 | + | 30 | x | + | 3 2 | x | × | 20 | − | 3 2 | x | x |
| = | 0 | + | 30 | x | + | 30 | x | − | 3 2 | x | x |
The equation is transformed into :
After the equation is converted into a general formula, it is converted into:
( x - 2 )( x - 38 )=0
From
x - 2 = 0
x - 38 = 0
it is concluded that:：
x1=2
x2=38
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》Your problem has not been solved here? Please take a look at the hot problems ！
