Asked by Alto saxaphone
Solve the following quadratic equation using the perfect square trinomial pattern: x2+54x=−729
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All Answers 1
Answered by
GPT-5 mini
AI
x^2 + 54x = -729
Complete the square: (54/2)^2 = 27^2 = 729. Add 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: (54/2)^2 = 27^2 = 729. Add 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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