Question

Find the value of discriminant of the quadratic equations x2 + 4x + 4 = 0 .​

Answer 1

Answer:

The answer is 0

Step-by-step explanation:

There are three possibilities.

If

Δ

>

0

, there are two separate real roots.

If

Δ

=

0

, there are two identical real roots.

If

Δ

<

0

, there are no real roots, but there are two complex roots.

Your equation is

x

2

−

4

x

+

4

=

0

Δ

=

b

2

–

4

a

c

=

(

−

4

)

2

−

4

×

1

×

4

=

16

−

16

=

0

This tells you that there are two identical real roots.

We can see this if we solve the equation by factoring.

x

2

−

4

x

+

4

=

0

(

x

−

2

)

(

x

−

2

)

=

0

x

−

2

=

0

or

x

−

2

=

0

x

=

2

or

x

=

2

There are two identical real roots to the equation.