Question

Value/ values of p for which the given equation has equal roots is/ are:- 2x^2-px+p=0(options are;-) a)0,8 b)8 only c)4 only d)0 only

Answer 1

For equal roots ,

D = 0

b²-4ac = 0

2x²-px+p = 0

a = 2 , b = -p , c = p

(-p)²-4×2×p = 0

p²-8p = 0

p(p-8) = 0

p = 0 , p = 8

Answer is (0,8).

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Answer 2

dakshrathore9266

akswag

4 days ago

Math

Secondary School

+11 pts

Answered

Value/ values of p for which the given equation has equal roots is/ are:- 2x^2-px+p=0(options are;-) a)0,8 b)8 only c)4 only d)0 only

Answers

The Brain

ShraddhaRajputt

ShraddhaRajputt Ace

For equal roots ,

D = 0

b²-4ac = 0

2x²-px+p = 0

a = 2 , b = -p , c = p

(-p)²-4×2×p = 0

p²-8p = 0

p(p-8) = 0

p = 0 , p = 8

Answer is (0,8).