Question

Find whether the following quadratic equations have a repeated root :
16y2— 40y + 25 = 0

Answer 1

Answer:

given,

16y² - 40y + 25 =0

=> ( 4y)² - 2.4y.5 + 5² = 0

=> ( 4y - 5)² = 0

=> ( 4y - 5)(4y -5 ) = 0

=> 4y - 5 = 0 or 4y - 5 = 0

=> 4y = 5 or 4y = 5

=> y = 5/4 or y = 5/4

hence,

it has repeated roots.