Find the equation that is equivalent to the quadratic equation shown.
x²  6x  27 = 0 A.) x(x  3) = 27 B.) (x  6)² = 63 C.) (x  3)² = 36 D.) (x  3)² = 28
It appears, completing the square was used to arrive at one of the given answer choices.
To complete the square: x²  6x  27 = 0 x²  6x = 27 {added 27 to each side to get into the form ax² + bx = c} x²  6x + 9 = 27 + 9 {took half of the coefficient of x, squared it, and added it to both sides} x²  6x + 9 = 36 {combined like terms on the right side} (x  3)² = 36 {factored the perfect square trinomial on the left into the square of a binomial} C.) (x  3)² = 36 Comments are closed.

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