Question
Download Solution PDFSolve the equation \(3^{2x^2}-2 (3^{x^2+x+6})+3^{3(x+6)}=0\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(3^{2x^2}-2 (3^{x^2+x+6})+3^{3(x+6)}=0\)
Calculation:
(3x2)2 − 2.3x2⋅3(x+6) + (3(x+6))2 = 0
⇒ (\({3^x}^2\)−3x+6)2 = 0
⇒ \({3^x}^2\) = 3x+6
⇒ x2 = x+6
⇒ x2 − x − 6 = 0
⇒ x2 − 3x + 2x − 6 = 0
⇒ (x − 3)(x + 2) = 0
⇒ x = 3 or x = −2
Last updated on May 26, 2025
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