If α,β are 2 zeroes of the polynomial 4x^2 + 3x + 7, then 1/α + 1/β is equal to?
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If α,β are 2 zeroes of the polynomial 4x^2 + 3x + 7, then 1/α + 1/β is equal to?
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Hey dear !!!
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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
plssss make this brainliest