Can anyone please teach me how to solve the equation [tex]x^2 - 8x + 19 = 0[/tex]?

x 2 − 8 x + 19 = x 2 − 8 x + 16 + 3 = ( x − 4 ) 2 + 3 ( x − 4 ) 2 + 3 = 0 ( x − 4 ) 2 = − 3 x ∈ ∅

Answered by konrad509 | 2024-06-10

To solve the equation x 2 − 8 x + 19 = 0 , we use the quadratic formula, which results in complex solutions due to a negative discriminant. The solutions are x = 4 + 3 ​ i and x = 4 − 3 ​ i . Therefore, this equation does not have any real solutions.
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Answered by Anonymous | 2025-06-13