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vivado [14]
3 years ago
11

X2 − 6x + 8 > 0 solve

Mathematics
1 answer:
Masja [62]3 years ago
5 0

Hello :

x²- 6x + 8 = x² - 2(3)(x) +8

                = (x² -2(3)(x) +9) - 9 + 8

               = ( x - 3 )² - 1²

               = (x - 3 + 1 ) (x - 3 - 1 )

x²- 6x + 8 = (x - 2 ) ( x - 4 )

x      - ∞             2             4              + ∞

ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ

x - 2       --------    0   +++++   +++++++

x - 4      ---------          --------  0  +++++

(x - 2 ) ( x - 4 )  +++ 0 ------ 0 ++++++  

x2 − 6x + 8 > 0   the solution in :  ]-∞:2[ U   ]4;+∞[


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