If α and β are the zeroes of the quadratic polynomial f(x)=2x^2-3x+7, then evaluate 1/α+1/β.
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Hello friends!!
Here is your answer :
Given
f(x)=2x²-3x+7
α and β are the zeroes of the f(x)
To find
1/α+1/β
Solution
Sum of Zeroes
α + β = -b/a
α + β = - (-3)/2
α + β = 3/2
Product of Zeroes
α β = c/a
α β = 7/2
=> 1/α+1/β
=>α + β / α β
=> 3/2 / 7/2
=> 3/7
=> 1/α+1/β = 3/7
Hope it helps you ^_^
rbvarshiniovrgxk:
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Answer:
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