Question

Determine the value of p for which the quadratic equation px² – 4x + 16 = 0 has equal roots.

Answer 1

Step-by-step explanation:

px2 -4x +16 =0

a= p. b = -4. c =16

b2 - 4ac= 0

(-4)2 - 4.p.16 = 0

16 - 64p = 0

-64p = -16

p = -16/-64

p =1/4

Answer 2

p(x) = px² - 4x + 16

=> b² - 4ac = 0

=> (-4)² -4(p) (16) = 0

=> 16- 64p = 0

=> 64p = 16

=> p = 1/4

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