The discriminant of the equation 2 x2-5 x-2-0 isA- 41

The correct option is A 41Quadratic equation: nbsp;2x^2 5x 2 = 0 We know that discriminant of a quadratic equation ax^2 + bx+c =0 is given by D=b^2 4ac. ...

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Mathematics

Discriminant

The discrimin...

Question

The discriminant of the equation $2 x^{2} - 5 x - 2 = 0$ is
41

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Solution

The correct option is A 41
Quadratic equation: $2 x^{2} - 5 x - 2 = 0$
We know that discriminant of a quadratic equation $a x^{2} + b x + c = 0$ is given by
$D = b^{2} - 4 a c$ .

Here, a = 2, b = -5 and c = -2
Therefore, discriminant of the given quadratic equation
$= (- 5)^{2} - 4 \times 2 \times (- 2) = 25 + 16 = 41$

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The discriminant of the equation 2x2−5x−2=0 is41

The correct option is A 41Quadratic equation: 2x2−5x−2=0 We know that discriminant of a quadratic equation ax2+bx+c=0 is given by D=b2−4ac. Here, a = 2, b = -5 and c = -2 Therefore, discriminant of the given quadratic equation =(–5)2–4×2×(–2)=25+16=41

The discriminant of the equation $2 x^{2} - 5 x - 2 = 0$ is
41