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hey I have posted the answer in
there are two methods of doing this and I have posted both write the one which you like and if you like it please mark as brainlist
there are two methods of doing this and I have posted both write the one which you like and if you like it please mark as brainlist
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krishnamukherje1:
thnkxx dear
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First, let's find the roots of the quadratic polynomial and equate it to α and β.
Given equation,
x^2 - 5x + 4 = 0
x^2 - x - 4x + 4 = 0
x ( x - 1 ) - 4 ( x - 1 ) = 0
( x - 1 ) ( x - 4 ) = 0
x = 1 (or) 4
α = 1 and β = 4
Now let's substitute α and β values in the given expression
1/α + 1/β - 2αβ = 1/(1) + 1/(4) - 2(1)(4)
= 1 + 0.25 - 8
= -7 + 0.25
= - 6.75
∴ The value of 1/α + 1/β - 2αβ = - 6.75.
Hope my answer helps you..
Given equation,
x^2 - 5x + 4 = 0
x^2 - x - 4x + 4 = 0
x ( x - 1 ) - 4 ( x - 1 ) = 0
( x - 1 ) ( x - 4 ) = 0
x = 1 (or) 4
α = 1 and β = 4
Now let's substitute α and β values in the given expression
1/α + 1/β - 2αβ = 1/(1) + 1/(4) - 2(1)(4)
= 1 + 0.25 - 8
= -7 + 0.25
= - 6.75
∴ The value of 1/α + 1/β - 2αβ = - 6.75.
Hope my answer helps you..
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