Question

What are the roots of the quadratic equation (x-2)(x-3)=0​

Answer 1

Answer:

Give equation is:

x

2

−x−3=0

⇒a=1,b=−1,c=−3

Discriminant D=b

2

−4ac

=(−1)

2

−4×1×(−3)

=1+12=13

As the value of D is not a perfect square

∴ the roots of the above equation are irrational.

Answer 2

Answer:

Calculating Discriminant of this quadratic,

D=(2

3

)

2

−4.(3).(1)

⟹D=12−12=0