Question

The discriminant of quadratic equation 2x2- 2√2x+1=0 is -------------

Answer 1

Answer:

The discriminant is 9 . A positive discriminant means that there are two real roots (x-intercepts). Also, since the discriminant is a perfect square, the two roots are rational

Answer 2

The discriminant of the quadratic equation is 0.

Given:

Quadratic equation 2x²- 2√2x + 1= 0

To Find:

The discriminant.

Solution:

Here, it is given that the quadratic equation is $2x^{2} -2\sqrt{2}x+1=0$.

now, compare the above equation with the general form of the quadratic equation, that is $ax^{2} +bx+c=0$.

here, $a=2,b=-2\sqrt{2}, c=1$.

now, the discriminant of the equation is

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

here, after putting the given values in the above equation.

we get,

$D=(-2\sqrt{2})^{2}-4\times 2\times 1\\D=8-8\\D=0$

Hence, the discriminant of the quadratic equation is 0.

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