Question

2. If one root of the polynomial P(x) = 5x2 + 13x + m is reciprocal of the other, then find the value of 'm'.
3. Find the value of k for which the system of equations kx + 4y= k-4, 16x + ky = k have infinite
number of solutions.
4. The first three terms of an AP respectively are 3y – 1,3y+5 & 5y +1. Find the value of y.
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Answer 1

Let one root of the given that other zero is Reciprocal the one zero.

So,

Other zero=1/Alpa.

Given polynomial is 5x

2

+13x+k=0.

Here,

A=coefficient of x

2

B=coefficient of x

And,C=constant term.

Product of zeroes =C/A

Alpha ×1/Alpha =K/5

1=K/5

K=5

Then,

We get k=5.

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