Question

Write the nature of the roots of x²− 4x − 2 = 0

Answer 1

Step-by-step explanation:

Consider the equation 4x

2

−4x+1=0

This is in the form of ax

2

+bx+c=0. The co-efficient are a=4,b=−4,c=1

△=b

2

−4ac,△(−4)

2

−4(4)(1),△=16−16

∴△=0. Therefore, roots are real and equal

Answer 2

Answer:

Two distinct and real root

Step-by-step explanation:

we should find the discriminant.....

[d= b²-4ac]

where,

b=-4

a=1

c=-2

---------------------

so,

= -4²-4×1×-2

= 16-8

=8

(d= 8)

therefore, b²-4ac>0

so , it implies that the nature of root is two distinct and real root

hope it helps you

:)