Question

Use the discriminant to determine the nature of the roots of 2x2 = 0.

Answer 1

The discriminant is zero, so we should expect 1 real solution :)

Answer 2

discriminant
= b^2 - 4ac
= 0^2 - 4(2)(0)
= 0

discriminant > 0 => 2 distinct real roots
discriminant = 0 => a double real root
discriminant < 0 => 2 distinct imaginary roots

Answer 3

Use the discriminant to find out the nature and number of solutions :)

Answer 4

\[2x^2 = 0\]

Here, a = 2, b= 0 and c = 0

As,
\[D = \sqrt{b^2 - 4ac}\]

D = 0..
So, this equation has equal and real roots..