Q. 124.3( 50 Votes )

If the squared di

Answer :

Consider ,

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




Apply the formula (x-y)2 = x2 + y2 - 2xy






Apply the formula (x+y)2 = x2 + y2 + 2xy

= 144

 ⇒ (-p)2  - 4× 45 = 144

⇒ p2  - 4× 45 = 144

⇒ p2  - 180= 144

⇒ p2 = 144 + 180

⇒ p2 = 324


⇒ p = ±18

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