Question

If one zero of the quadratic polynomial p x 2 − 52 x + 24 is the reciprocal of the other, then find the value of p .

Answer 1

Answer:

We know that for a quadratic polynomial ax

2

+bx+c,

product of the zeros=

a

c

Here,quadratic polynomial is 2x

2

+px+4

One root is 2

Let the other root be a

Therefore,

2×a=

2

4

=>a=1

Therefore,

The other zero is 1

Also, sum of the zeros =

a

−b

=>1+2=

2

−p

=>3×2=−p

=>p=−6

Therefore,

p=−6 , other root=1