Question

If 2 and `1/2` are the zeros of px² + 5x + r, then ______.

Options

• p = r = 2

• p = r = -2

• p = 2, r= -2

• p = -2, r = 2

Answer 1

If 2 and `1/2` are the zeros of px² + 5x + r, then p = r = -2.

Explanation:-

Sum of zeroes = 2 + `1/2` = `(-5)/p`

i.e. `5/2=(-5)/p`

So p = -2

Product of zeroes = `2xx1/2=r/p`

i.e. `r/p=1` or

r = p = -2