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malfutka [58]
3 years ago
5

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

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

No solutions

Step-by-step explanation:

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

Substitute 3^x with t and we get.

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

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