Question

Find the discriminant value √22+ 4x +2√2 = 0 and state the nature of the roots.

Answer 1

Answer:

Discriminant = 0

Nature of Roots: Real and Equal Roots

Step-by-step explanation:

Consider the general form of a quadratic equation below:

$ax^{2} +bx+c=0$

The discriminant of the equation is given by,

$D = b^{2} -4ac$

Given equation is $\sqrt{2} x^{2} +4x+2\sqrt{2} =0$

Here, a = $\sqrt{2}$ , b = 4 , c = 2$\sqrt{2}$

So,

$D = 4^{2} -4*\sqrt{2} *2\sqrt{2}$

$D = 16 - 16$

$D = 0$

Since Discriminant is 0, therefore the quadratic equation has two Real and Equal roots.