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[ 1/1 Equation]
Work: Find the solution of equation (2x-16)(x-16) = 0 .
Question type: Equation
Solution:Original question: Remove the bracket on the left of the equation:
| Left side of the equation = | 2 | x | ( | x | − | 16 | ) | − | 16 | ( | x | − | 16 | ) |
| = | 2 | x | x | − | 2 | x | × | 16 | − | 16 | ( | x | − | 16 | ) |
| = | 2 | x | x | − | 32 | x | − | 16 | ( | x | − | 16 | ) |
| = | 2 | x | x | − | 32 | x | − | 16 | x | + | 16 | × | 16 |
| = | 2 | x | x | − | 32 | x | − | 16 | x | + | 256 |
The equation is transformed into :
After the equation is converted into a general formula, it is converted into:
( x - 8 )( x - 16 )=0
From
x - 8 = 0
x - 16 = 0
it is concluded that::
x1=8
x2=16
There are 2 solution(s).
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