Question

If the squared difference of the zeroes of quadrilateral polynomial p(x) = x^2+3x+k is 3, find k.​

Answer 1

Answer:

see the attachment

Step-by-step explanation:

please give me 30 thanks follow and mark me as branlist please

Answer 2

Answer:

Let α,β be the zeroes of the given quadratic polynomial f(x)=x

2

+px+45

∴α+β=−p,αβ=45

It is given that, (α−β)

2

=144

⇒(α+β)

2

–4αβ=144

⇒(–p)

2

–4×45=144

⇒p

2

–180=144

⇒p

2

=144+180

⇒p

2

=324

⇒p=±

324

∴p=±18