Solve the quadratic equation by completing the square. Enter your answers as a comma-separated list.
\[ x^2 - 6x - 27 = 0 \]
Answer (2)
x 2 − 6 x − 27 = 0 a = 1 , b = − 6 , c = − 27 Δ = b 2 − 4 a c = ( − 6 ) 2 − 4 ⋅ 1 ⋅ ( − 27 ) = 36 + 108 = 144 x 1 = 2 a − b − Δ = 2 6 − 144 = 2 6 − 12 = 2 − 6 = − 3 x 2 = 2 a − b + Δ = 2 6 + 144 = 2 6 + 12 = 2 18 = 9 A n s w er : x = − 3 or x = 9
To solve the equation x 2 − 6 x − 27 = 0 , we complete the square to get the solutions x = − 3 and x = 9 .
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