SenorMathWizidn
Answered

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I have no idea what im doing

I Have No Idea What Im Doing class=

Sagot :

Mhanifaidn

Answer:

  • x = - 6

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

Let's factorize the numerator and denominator:

  • 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
  • x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

We have same factor of x + 6:

  • x + 6 = 0
  • x = - 6 is a hole

Factor denominator to 0

  • x²+2x-24=0
  • (x+6)(x-4)=0
  • x={-6,4}

Factor numerator

  • 3x²-108=0
  • 3(x²-36)=0
  • 3(x+6)(x-6)=0
  • x={-6,6}

x=-6 is the hole as it's common

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