Question

if alpha bita are zeros of polynomial 4x²+3x+7 then 1/ alpha+1/ bita is equal to
(a) 7/3
(b) -7/3
(c)3/7
(d) -3/7
please explain step by step​

Answer 1

Answer:

Given: α,β are zeroes of the polynomial 4x

2

+3x+7

To find the value of

α

1

+

β

1

We know that equation ax

2

+bx+c=0

Then sum of roots =

a

−b

and product of roots=

a

c

From the given quadratic equation,

α+β=−

4

3

and αβ=

4

7

Therefore,

α

1

+

β

1

=

αβ

α+β

=

4

7

−

4

3

=−

7

3

⇒

α

1

+

β

1

=−

7

3

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

hope it helps just check it