Question

If alpha and beta are the zeroes of 4x square + 3x + 7 then find the value of 1/alpha + 1/ beta​

Answer 1

Answer:-

Alpha is taken as p and beta is taken as q.

Given Polynomial: 4x² + 3x + 7 = 0

Let , a = 4 ; b = 3 ; c = 7.

We know that,

Sum of the roots = - b/a

→ p + q = - 3/4 -- equation (1).

Product of the roots = c/a

→ pq = 7/4 -- equation (2).

Now,

Taking LCM from the finding value,

→ 1/p + 1/q = (q + p)/pq.

Substitute the values from equation (1) now,

→ (- 3/4)/(7/4)

→ 1/p + 1/q = - 3/7

Hence, the value of 1/alpha + 1/beta is - 3/7.

Answer 2

Step-by-step explanation:

the answer is

-3/7 is the right answer

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