CashQ786188 CashQ786188
  • 04-11-2022
  • Mathematics
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How do I answer this question 4x²-27 +18Factor and solve for the x intercepts

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DaymianO79636 DaymianO79636
  • 04-11-2022

Given:

4x² - 27 + 18

4x² - 9

Applying the difference of two squares.

(2x - 3)(2x + 3)

To solve for x-intercept;

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

Either 2x-3= 0 or 2x+3=0

2x = 3 ⇒ x = 3/2 or 2x = -3 ⇒ x = -3/2

There are two x-intercepts and they are: (3/2 , 0 ) and (-3/2 , 0)

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