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Show that 4x - x? – 7 is always
negative.




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Show that 4x - x? – 7 is always negative. Help-example-1

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Question No 7

Answer:

Please check the explanation.

Explanation:

Show that 4x - x² - 7 is always negative.

Given

4x - x² - 7

4x - x² - 7 is always negative because:

  • -x²-7 will alwas be negative for all the values of x,
  • The value of - x² - 7 will always be less than 4x for all the values of x

Hence, 4x - x² - 7 is always negative

For example,

let suppose we enter x = 1


4(1)-1^(2) -7\\=4-1-7\\=4-8\\=-4

let suppose we enter x = -1


4(-1)-(-1)^(2) - 7\\= -4 - 1 - 7\\= -12

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