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