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Let the roots of the equation 3x2 − 4x + 2 = 0 be alpha and beta. Find the equation with integral coefficients whose roots are (1)/(alpha3) and (1)/(beta3).
Mathematics
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Here are the solutions to the questions:
Question 1 (Top Left):
The roots of the equation are and .
From Vieta's formulas:
Sum of roots:
Product of roots:
We need to find the equation with integral coefficients whose roots are and .
Let the new roots be and .
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