Find the Discriminant of quadratic equations (i) 2x2 - 7x + 6 = 0(ii

1.	Find the Discriminant of quadratic equations (i) 2x2 - 7x + 6 = 0(ii) 3x2 - 2x + 8 = 0(iii) 2x2 - 5\(\sqrt{2x}\) + 4 = 0
Answer» (i) 2x² - 7x + 6 = 0 Here a = 2 b = - 7 c = 6 Discriminant D is diven by: D = b² - 4ac = (-7)² - 4 x 2 x 6 = 49 - 48 = 1 (ii) 3x² - 2x + 8 = 0 Here a = 3, b = -2, c = 8 Discriminant D is given by: D = b² - 4ac = (-2)² - 4 x 3 x 8 = 4 - 96 = - 92 (iii) 2x² - 5\(\sqrt{2x}\) + 4 = 0 Here a = 2 b = - 5√2. c = 4 Discriminant D is given by: D = b² - 4ac = (- 5√2)² - 4 x 2 x 4 = (25 x 2) - 32 = 50 - 32 = 18

Find the Discriminant of quadratic equations (i) 2x2 - 7x + 6 = 0(ii) 3x2 - 2x + 8 = 0(iii) 2x2 - 5\(\sqrt{2x}\) + 4 = 0

Answer»

(i) 2x² - 7x + 6 = 0

Here

a = 2

b = - 7

c = 6

Discriminant D is diven by:

D = b² - 4ac

= (-7)² - 4 x 2 x 6

= 49 - 48

= 1

(ii) 3x² - 2x + 8 = 0

Here

a = 3,

b = -2,

c = 8

Discriminant D is given by:

D = b² - 4ac

= (-2)² - 4 x 3 x 8

= 4 - 96

= - 92

(iii) 2x² - 5\(\sqrt{2x}\) + 4 = 0

Here

a = 2

b = - 5√2.

c = 4

Discriminant D is given by:

D = b² - 4ac

= (- 5√2)² - 4 x 2 x 4

= (25 x 2) - 32

= 50 - 32

= 18