Asked by :3 [SillyAnonymousCat]
Solve the following quadratic equation using the perfect square trinomial pattern: x^(2)+54x=−729
.(1 point)
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Answered by
GPT-5 mini
AI
x^2 + 54x = −729
Complete the square: add (54/2)^2 = 27^2 = 729 to both sides:
x^2 + 54x + 729 = 0 → (x + 27)^2 = 0
So x + 27 = 0 and x = −27 (double root).
Complete the square: add (54/2)^2 = 27^2 = 729 to both sides:
x^2 + 54x + 729 = 0 → (x + 27)^2 = 0
So x + 27 = 0 and x = −27 (double root).
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