Let a, ß be the roots of the equation
x? – ax + b = 0 and A. = a" + B".
Then find the value of An + - A + A-1
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Answer:
The value of a and b are either a=0,b=0 or a=1, b=-2.
Step-by-step explanation:
If a quadratic equation is defined as and α and β are roots, then
....(1)
.... (2)
The given equation is
The a and b are roots of quadratic equation. Using equation (1) we get
... (3)
Using equation (2), we get
Equate each factor equal to 0.
If b=0, then by equation (3) a=0.
If a=1, then by equation (3) b=-2.
Therefore the value of a and b are either a=0,b=0 or a=1, b=-2.
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