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41 votes
41 votes
PLEASE HELP MEEE :))))))

PLEASE HELP MEEE :))))))-example-1
User Drexel
by
2.6k points

2 Answers

18 votes
18 votes

Step-by-step explanation:

The correct steps are:

2x²-2x-24=0

2(x²-x-12)=0

2(x-4)(x+3)=0

x=4 or x=-3

so what actually went wrong, is the final answer which is supposed to be x=4,-3 instead of x=-4,3

User AkiRoss
by
2.8k points
6 votes
6 votes

Answer:

x = 4, x = -3

Step-by-step explanation:

⇒ 2x² - 2x -24 = 0


\sf takeout \ the \ common \ factor

⇒ 2(x² - x - 12) = 0


\sf divide \ both \ sides \ by \ 2

⇒ x² - x - 12 = 0


\sf breakdown

⇒ x² - 4x + 3x - 12 = 0


\sf factor \ common \ terms

⇒ x(x - 4) + 3(x - 4) = 0


\sf collect \ into \ groups

⇒ (x - 4)(x + 3) = 0


\sf set \ to \ zero

⇒ x = 4, x = -3

User Matt Grande
by
3.1k points
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