if alpha and beta are the zeros of the quadratic polynomial FX equal to X square + X - 2, find the value of one upon Alpha minus one upon beta
Answers
Answered by
65
Answer:
-3/2
Step-by-step explanation:
x² + x - 2 = 0
Splitting middle term
x² + 2x - x - 2 = 0
x(x + 2) - 1( x + 2) = 0
(x + 2) (x - 1) = 0
x + 2 = 0 x - 1 = 0
x = -2 x = 1
∴α = -2 β = 1
Now
1/α - 1/β
Putting values of α and β
= 1/(-2) - 1/1
= -3/2
Answered by
15
Answere
-3/2
Step-by-step explanation:
x² + x - 2 = 0
Splitting middle term
x² + 2x- x - 2 = 0
x(x + 2) - 1( x + 2) = 0
(x + 2) (x - 1) = 0
x + 2 = 0 x - 1 = 0
x = -2 x = 1
∴α = -2 β = 1
Now
1/α - 1/β
Putting values of α and β
= 1/(-2) - 1/1
= -3/2
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