If the discriminant of a quadratic equation is equal to 18, which statement describes the roots?

There are two complex roots

There are two real roots

There is one real root,

There is one complex root

Then there are two real roots

Here we have D > 0 i.e Discriminant = 18

Hence, There are two real roots.

Step-by-step explanation:

Given:

To Find :

Which statement describes the roots form all Four options = ?

Solution:

For a Quadratic Equation:

The Discriminant is given as,

So if this Discriminant, say D,

Case 1 :

Then there are two real roots

Here we have D > 0 i.e Discriminant = 18

Hence, There are two real roots.

Case 2 :

If,

Then there are two complex roots.

Case 3 :

If,

Then there are Same and Real roots.

27

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional