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Formation of a Quadratic Equation From It's Roots

if alpha and ...

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if alpha and beta are the zeros of the polynomial x^2-ax+a then find the value of alpha^4 - beta^4

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If alpha and beta are zeroes of the quadratic polynomial x2-5x+4, then find all the quadratic polynomials whose zeroes are alpha+1/beta and beta+1/alpha.

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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