If the discriminant is positive then the solution will be:

Solutions have 2 real roots.

Step-by-step explanation:

Discriminant determines the solutions of quadratic equation.

If the value of discriminant is greater than 0 or D > 0 or D is positive then there are 2 real roots.

If the value of discriminant is 0, there is one real root.

If the value of discriminant is less than 0 or in negative then there are no real roots.

Formula

Discriminant can be found using:

The discriminant derives from Quadratic Formula.

Now you should know why D > 0 gives 2 real roots because of ± which determines 2 solutions.

D = 0 gives one real root because x would be -b/2a

D < 0 gives no real roots because in square root, the value is negative which does not exist in real number.

b

step-by-step explanation:

b

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