Question

The nature of roots of $x^2-3x+2=0$ will be:

• A. Two distinct real roots
• B. Two equal real roots
• C. No real roots
• D. None of these

Answer 1

The correct option is A

Two distinct real roots

We have, $x^2-3x+2=0$

$\Rightarrow D=b^2-4ac$

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

$\Rightarrow 1>0$

Since, $D>0$, roots are distinct and real.