Calculate the discriminant.

\[ x^2 - 2x + 4 = 0 \]

A. 20
B. 12
C. –12
D. 0

x 2 − 2 x + 4 = 0 Δ = b 2 − 4 a c = ( − 2 ) 2 − 4 ∗ 1 ∗ 4 = 4 − 16 = − 12

Answered by Lilith | 2024-06-10

The discriminant of the quadratic equation x 2 − 2 x + 4 = 0 is calculated using the formula Δ = b 2 − 4 a c . Plugging in the values gives Δ = − 12 , indicating no real roots. The correct answer is C: –12.
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Answered by Lilith | 2024-12-23