Question

viii. Determine the nature of the roots of the equation from its discriminant y 2 - 4y -1 =0.

Answer 1

Step-by-step explanation:

The given equation is

y ^2 - 4 y - 1 = 0 ....... (1)

Equate this equation with General form of quadratic equations

a y ^2 + b y + c = 0 ........(2)

We get ,

a = 1

b = -4

And ,

c = -1

Now , the discriminant is given by b ^2 - 4 ac

Hence , the required discriminant of the equation is

(- 4 ) ^2 - 4 ( -1 ) 1 = 16 + 4 = 20

→ Discriminant is greater than 0

Hence the equation will have Real and unequal roots .