Question

if alpha and beta are the zeros of 4 x square + 3 X + 7 then find the value of one by Alpha Plus One by beta

Answer 1

Heya!!!

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==> In the given equation ,

p(x) = 4x² + 3x + 7 

And α = alpha , β = beta are the zeroes of the given polynomial .

We have to find the value of ,

1/α + 1/β

So, lets find this,

We have the following values ,as

a = 4

b = 3

c = 7

We know that,

α + β = -b/a

= -3/4

Also we know that,

αβ = c/a

= 7/4

Now, by using the identity of quadratic expression ,[ 1/α + 1/β = α+β/αβ ]

By putting the obtained value we get,

1/α + 1/β = α+β/αβ 

= -3/4/74

4 and 4 get cancelled and we get 

= -3/7

Therefore 1/α + 1/β = -3/7

Thanks !!!

[ Be Brainly ]