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3 years ago

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 + ∞

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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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