Question

1) What is the nature of roots of the quadratic.
equation
4x
-12X - 9= 0​

Answer 1

Answer:

Step-by-step exGiven : The quadratic equation .

To find : The nature of the roots of the quadratic equation ?

Solution :

The nature of quadratic equation  is determined by discriminant.

1)  then roots are real and equal.

2)  then roots are real and distinct.

3)  then roots are imaginary.

In , a=4,  and c=3

Substitute in discriminant,

So, the roots are real and equal.

planation:

Answer 2

Answer:

roots are real and distinct.

Step-by-step explanation:

Given : The quadratic equation .

To find : The nature of the roots of the quadratic equation ?

Solution :

The nature of quadratic equation  is determined by discriminant.

1)  d=0 then roots are real and equal.

2) d>0 then roots are real and distinct.

3) d<0 then roots are imaginary.

d= b sq.-4ac

so, a=4,b=-12 and c=-9

so,d=144-154

   d=-10

as d>0 then roots are real and distinct.