If alpha and beta are zeros of the polynomial x^2-ax+b,the the value of alpha^2(alpha^2/β-β)+β^2(β^2/alpha-alpha) is?
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Answer:
(i)
(ii)
Step-by-step explanation:
Since, if p and q are roots of a quadratic equation,
ax² + bx + c
Then,
Here, the given quadratic equation,
If and are roots of the given equation,
So, by the above property,
---------(1)
--------(2),
(i) By squaring equation (1),
From equation (2),
(ii)
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Done
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