baabaelvira2000 baabaelvira2000
  • 02-04-2020
  • Mathematics
contestada

What would be the value of p so that the quadratic equation px^2 - 4x + 1 =0 has equal roots

Respuesta :

jimrgrant1 jimrgrant1
  • 02-04-2020

Answer:

p = 4

Step-by-step explanation:

Using the discriminant b² - 4ac to determine the nature of the roots.

If b² - 4ac = 0 then real and equal roots

Given

px² - 4x + 1 = 0

with a = p, b = - 4 and c = 1, then

(- 4)² - 4p = 0

16 - 4p = 0 ( subtract 16 from both sides )

- 4p = - 16 ( divide both sides by - 4 )

p = 4

Answer Link
korendezjackson
korendezjackson korendezjackson
  • 02-04-2020

Answer:

for repeated roots ,

b²-4ac=0

16-{4p}=0

p=4

Step-by-step explanation:

Answer Link

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