lyon001 lyon001
  • 20-08-2019
  • Mathematics
contestada

solve for the value of X in 9^x+4(3^x+1)+27=0​

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Cxlver
Cxlver Cxlver
  • 20-08-2019

Answer:

No solutions

Step-by-step explanation:

[tex]9^x + 4(3^x + 1) + 27 = 0\\3^{2x} + 4 \cdot 3^x + 31 = 0[/tex]

Substitute 3^x with t and we get.

[tex]t^2 + 4t + 31 = 0\\\triangle = 16 - 4 \cdot 31 = -108 < 0 => t_{12} \notin R => x \notin R[/tex]

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