The nature of roots of x 2 − 3 x + 2 = 0 will be: Options: A . &nbspTwo distinct real roots. B . &nbspTwo equal real roots. C . &nbspNo real roots. D . &nbspNone of these.

Answer: Option A : A We have, x 2 − 3 x + 2 = 0 ⇒ D = b 2 − 4 a c ⇒ ( − 3 ) 2 − 4 × 1 × 2 > 0 ⇒ 1 > 0 Since, D > 0 , roots are distinct and real.

The nature of roots of x2−3x+2=0 will be:

Question

The nature of roots of

x^{2} - 3 x + 2 = 0

will be:

Options:

A . Two distinct real roots.

B . Two equal real roots.

C . No real roots.

D . None of these.

Answer: Option A
:
A
We have,

x^{2} - 3 x + 2 = 0

\Rightarrow D = b^{2} - 4 a c

\Rightarrow (- 3)^{2} - 4 \times 1 \times 2 > 0

\Rightarrow 1 > 0

Since,

D > 0

, roots are distinct and real.

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