quadratic polynomial 2x^2-3x+1=0 has zeros alpha and beta write another polynomial whose zeros are 3 alpha and 3 beta
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Hai.
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I hope you get your ana
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2x²-3x+1 = 0
2x²-2x-3
2x²-2x-1x+1 = 0
2x(x-1)-1(x-1) = 0
(2x-1)(x-1) = 0
x = 0.5 or 1
alpha = 0.5, beta = 1
3alpha = 1.5, 3beta = 3
polynomial:
(x-1.5)(x-3) = 0
(2x-3)(x-3) = 0
2x²-3x-6x+9 = 0
2x²-9x+9 = 0
the required quadratic equation is 2x²-9x+9 = 0
2x²-2x-3
2x²-2x-1x+1 = 0
2x(x-1)-1(x-1) = 0
(2x-1)(x-1) = 0
x = 0.5 or 1
alpha = 0.5, beta = 1
3alpha = 1.5, 3beta = 3
polynomial:
(x-1.5)(x-3) = 0
(2x-3)(x-3) = 0
2x²-3x-6x+9 = 0
2x²-9x+9 = 0
the required quadratic equation is 2x²-9x+9 = 0
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