Solve the quadratic equation by completing the square:

\[ x^2 + 2x - 15 = 0 \]

x 2 + 2 x − 15 = 0 x 2 + 2 x ⋅ 1 + 1 2 − 1 2 = 15 ( x + 1 ) 2 − 1 = 15 ( x + 1 ) 2 = 15 + 1 ( x + 1 ) 2 = 16 ⟺ x + 1 = 4 or x + 1 = − 4 x = 4 − 1 or x = − 4 − 1 x = 3 or x = − 5 ​ ​

Answered by Anonymous | 2024-06-10

To solve the equation x 2 + 2 x − 15 = 0 by completing the square, rewrite it as ( x + 1 ) 2 = 16 . The solutions are x = 3 and x = − 5 .
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Answered by Anonymous | 2024-12-23