Find the discriminant of the quadratic equation 4x^2 - 5 = 0 and hence comment on the nature of roots of the equation.... | VSA 2m | Maths | SuperPadhai

Quadratic Equations > Question

VSA2 marksYear: 2023EasyCBSE Class 10

quadratic-equationsdiscriminantnature-of-roots

Question

Find the discriminant of the quadratic equation

4 x^{2} - 5 = 0

and hence comment on the nature of roots of the equation.

Solution

1

Here

a = 4

,

b = 0

,

c = - 5

. Discriminant

D = b^{2} - 4 a c = 0 - 4 (4) (- 5) = 80 > 0

+1.5 marks

2

Since

D > 0

, roots are real and distinct.

+0.5 marks

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