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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
Add 729 to both sides: x^2 + 54x + 729 = 0.
Notice x^2 + 54x + 729 = (x + 27)^2, so (x + 27)^2 = 0 ⇒ x = −27.