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Relations between Roots and Coefficients : Higher Order Equations

If alpha and ...

Question

If alpha and beta are the zeroes of the polynomial x2+7x+3,then the value of (alpha-beta)2

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Solution

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α

β

p (x) = 2 x^{2} - 7 x + 3

α^{2} + β^{2}

α, β

p (x) = 2 x^{2} - 7 x + 3

α^{2} + β^{2}

α

β

x^{2} - 7 x + k

α - β = 5

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