Question

To help a poor student, Ariv donated 'a'
pens and 'B' books to him, where a and B
represent the zeroes of polynomial x2 – 5x + 4.
Inspired by the deed of Ariv, Arya also
donated 2a + 3B pens and 3a + 2B books
to that student. Find a polynomial whose
zeroes are the number of pens and books
donated by Arya.​

Answer 1

Step-by-step explanation:

Combined value of 10Rs and 25Rs pen = 1550-350=1200 Rs

Let number of pens of 10 Rs = x

then x ⋅10+2x⋅25=1200

(x)60=1200

∴ x=20(number of 10 Rs pen)

∴ number of 20 Rs pen = 2 ⋅ 20=40 pens

and number of 50 Rs pen = 350/50=7 pens