Q3 of 168 Page 7

Find whether the following quadratic equations have a repeated root :
y² — 6y + 6 = 0

REPEATED ROOTS MEAN d = 0.

d = b² – 4ac

d = (–6)² – 4(1)(6)

d = 36 – 24

d = 12

∴ roots are not repeated.

Examine whether the following quadratic equations have real roots or not:

x² — 10x + 2 = 0

Find whether the following quadratic equations have a repeated root :

9x²— 12x + 4 = 0

Find whether the following quadratic equations have a repeated root :

9x² + 4x + 6 = 0

Find whether the following quadratic equations have a repeated root :

16y²— 40y + 25 = 0

Find whether the following quadratic equations have a repeated root :y2 — 6y + 6 = 0