Question

find nature of roots x^2-√2x-4=0

Answer 1

Nature is real and positive

Answer 2

Answer:

Real and unequal roots.

Step-by-step explanation:

Given equation,

x² - √2x - 4 = 0

The quadratic equation is of the form

ax²+bx+c = 0

a = 1, b = -√2 and c = -4

To find the nature of roots, we have to find

D = b² - 4ac

D = (-√2)² - 4(1)(-4)

= 2 + 16

= 18

D > 0 ; the equation has real and unequal roots.

NATURE OF ROOTS :

If D < 0 ; no real roots

If D = 0 ; real and equal roots

If D > 0 ; real and unequal roots.