Q12 of 109 Page 2

If the squared difference of the zeros of the quadratic polynomial is equal to 144, find the value of p.

Let one root of the given quadratic polynomial is


Other root of the given quadratic polynomial is β


Sum of the roots = = = = -p


Product of the roots = = = 45


According to the question: squared difference of the zeros = 144


= 144


2 - 4× 45 = 144


⇒ 2 = 324


⇒ = ±18


More from this chapter

All 109 →
10

If one zero of the quadratic polynomial is negative of the other, find the value of k.

 11

If the sum of the zeros of the quadratic polynomial is equal to their product, find the value of k.

 13

If α and β are the zeros of the quadratic polynomial , prove that .

 14

If α and β are the zeros of the quadratic polynomial , show that .