Psychologylady9307 Psychologylady9307
  • 10-05-2020
  • Mathematics
contestada

What are the solutions of 12 - x ^ 2 = 0 ? X = 2sqrt(3) and x = - 2sqrt(3) x = 3sqrt(2) and x = - 3sqrt(2) x = 4sqrt(3) x = - 4sqrt(3) x = 6 and x = - 6

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Teebhabzie Teebhabzie
  • 16-05-2020

Answer:

A. [tex]x = 2\sqrt{3}[/tex] and [tex]- 2 \sqrt{3}[/tex]

Step-by-step explanation:

The equation is:

[tex]12 - x^2 = 0[/tex]

To solve this, move 12 to the right hand side and find its square root:

[tex]12 = x^2\\\\=> x^2 = 12\\\\x = \sqrt{12}[/tex]

The square root of a number has two answers, a negative and a positive number of the same value:

=> [tex]x = 2\sqrt{3}[/tex] and [tex]- 2 \sqrt{3}[/tex]

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