Solve each equation by factoring.
\[ 12 - 27n^2 = 0 \]
Answer (2)
12 − 27 n 2 = 0 / − 12 − 27 n 2 = − 12 / : ( − 27 ) 2 = − 27 − 12 2 = 9 4 = ± 9 4 = − 3 2 ∨ n = 4 2
To solve 12 − 27 n 2 = 0 , we isolate n 2 by moving terms and dividing, leading to n 2 = 9 4 . The solutions are n = 3 2 and n = − 3 2 .
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