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Work: Find the solution of equation (6-t)(8-2t) = 16 .
Question type: Equation
Solution:Original question: Remove the bracket on the left of the equation:
| Left side of the equation = | 6 | ( | 8 | − | 2 | t | ) | − | t | ( | 8 | − | 2 | t | ) |
| = | 6 | × | 8 | − | 6 | × | 2 | t | − | t | ( | 8 | − | 2 | t | ) |
| = | 48 | − | 12 | t | − | t | ( | 8 | − | 2 | t | ) |
| = | 48 | − | 12 | t | − | t | × | 8 | + | t | × | 2 | t |
The equation is transformed into :
After the equation is converted into a general formula, it is converted into:
( t - 2 )( t - 8 )=0
From
t - 2 = 0
t - 8 = 0
it is concluded that::
t1=2
t2=8
There are 2 solution(s).
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