Question

if alpha and beta are the zeros of the polynomial f(x)=5x^2 -7x+1 find 1/α + 1/β

Answer 1

Answer:

a= 5 , b = -7 ,c = 1

alpa + beta = - b/ a

= -(-7)/5

= 7/5

alpa(beta) = c/a

= 1/5

1/a + 1/b

b + a/ab

7/5 / 1/5

7/5(5/1)

35/5

7

Step-by-step explanation:

I hope it will help you mate!

Answer 2

Step-by-step explanation:

if 5x2-7x+1 is the polynomial f(x)

now

alpha+beta= -b/a. so

alpha +beta =7/5

and. alpha ×beta=c/a

so. alpha ×beta =1/5now we were ask to find 1/alpha+1/beta

so now take lcm of 1/alpha+1/beta

1/alpha +1/beta=beta +alpha/alpha×beta or we can say that

alpha +beta/alpha ×beta

now put the value of alpha+beta and alpha×beta

so we get

-(-7/5)÷1/5

now we know that minus minus get

7/5×1/5

so the answer is = 7

hope it will help you