Question

If one of the zero of the polynomial 5x2+13x+a is reciprocal of the other then find value of a

Answer 1

Step-by-step explanation:

Given that,

p(x)=5x

2

+13x−a

Here, a=5,b=13 & c=−a

Let, the zeroes are α,

α

1

Product of zeroes (α×

α

1

)=

a

c

⟹1=

5

−a

⟹5=−a

∴a=−5