Q.

The nature of roots of the quadratic equation  2x2  - 5x + 1 =0  is: 

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a

More than 2 real roots

b

Two equal real roots

c

No real roots

d

Two distinct real roots

answer is C.

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Detailed Solution

We are given the quadratic equation 2𝑥2 − 5𝑥 + 1 = 0, and we have to find what kind of roots this equation has.

The general quadratic equation is  ax +  bx + c = 0,

Comparing both equations, we get

a = 2

b = - 5

c = 1

Now, discriminant, D = b - 4ac

D = (-  5)2    -  4  x 2 x 1 

D = -3

D< 0

As the value of the discriminant is less than 0, the given equation has no real roots. Hence, the correct option is (c) No real roots. 

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