Question

4. If alphs and beta are the zeros of the quadratic polynomial pu) - 5y²- 7y+1, find the value of 1/alpha + 1/beta​

Answer 1

Answer:

Step-by-step explanation:

since αandβare zeros of polynomial p(x)=5y²- 7y+1 .

sum of zeros ,α+β= -coefficient of y/coefficient of y²

= -(-7)/5=7/5

and,product of zeros,αβ=constant term/coefficient of y²

=1/5

now,we have

1/α+1/β=α+β/αβ=(7/5)/(1/5)=7.is the right answer.

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