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Q: If α and β are the roots of equation $$ {x^2-2x+4=0}$$, then what is the equation whose roots are ${α^3}\over{β^2}$$ and $${β^3}\over{α^2}$$.

A. $$ {x^2-4x+8=0}$$
B. $$ {x^2-32x+4=0}$$
C. $$ {x^2-2x+4=0}$$
D. $$ {x^2-16x+4=0}$$
Answer» D. $$ {x^2-16x+4=0}$$


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