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☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （100+4x)(35-x) = 3600 .
Question type: Equation
Solution:Original question:| | ( | 100 | + | 4 | x | ) | ( | 35 | − | x | ) | = | 3600 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 100 | ( | 35 | − | x | ) | + | 4 | x | ( | 35 | − | x | ) |
| = | 100 | × | 35 | − | 100 | x | + | 4 | x | ( | 35 | − | x | ) |
| = | 3500 | − | 100 | x | + | 4 | x | ( | 35 | − | x | ) |
| = | 3500 | − | 100 | x | + | 4 | x | × | 35 | − | 4 | x | x |
| = | 3500 | − | 100 | x | + | 140 | x | − | 4 | x | x |
The equation is transformed into :
| | 3500 | + | 40 | x | − | 4 | x | x | = | 3600 |
After the equation is converted into a general formula, it is converted into:
( x - 5 )( x - 5 )=0
From
x - 5 = 0
x - 5 = 0
it is concluded that:：
x1=5
x2=5
There are 2 solution(s).
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