If alpha and beta are the zeroes of p(y)= 5y^2-7y+1 then find the value of alpha minus beta
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Step-by-step explanation:
Given f(x) = 5y^2 - 7y + 1.
Given that a,b be the zeros of the polynomial.
We know that sum of zeroes = -b/a
= > a + b = -(-7/5)
= > a + b = 7/5.
We know that product of zeroes = c/a
= > ab = 1/5
Now,
= > 1/a + 1/b = (a + b)/ab
= (7/5) * (5/1)
= 7/1
= 7.
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