Question

if one of the zeros of the the equation 5 x square + 13 x Plus a is reciprocal of other find value of a​

Answer 1

Answer:

a = 5

Step-by-step explanation:

given equation

5x² + 13x + a

given one zero of the polynomial is the reciprocal of the other.

let one zero be α so,

another zero be 1/α

in the equation

5x² + 13x + a

here,

A = 5

B = 13

C = a

we know that,

product of zeros = C/A

so,

ATQ,

α×1/α = a/5

a/5 = 1 [product of zeros = 1]

a = 5

so, value of a in the equation is 5

hope it helps

Answer 2

Answer:

Your answer is 5.

Step-by-step explanation:

The given equation is 5x² +13x +a

Let alpha is one of the zero of the polynomial then 1/alpha is another zero

Therefore, product of zeroes = c/a

alpha ×1/alpha. = a/5

1 = a/5

5 = a

Hope I was able to help you