The discriminant of the equation $2 x^{2} - 5 x - 2 = 0$ is = ___.

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Solution

Given: $2 x^{2} - 5 x - 2 = 0$ $\Rightarrow a = 2, b = - 5, c = - 2$

$D = b^{2} - 4 a c$

= $(- 5)^{2} - 4 \times 2 \times (- 2) = 25 + 16 = 41$

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