If alpha and 1/alpha are zeros of the polynomial 4xsq -2x+(k-4)find k

1.	If alpha and 1/alpha are zeros of the polynomial 4xsq -2x+(k-4)find k
Answer» AnswEr: Value of K is 8. ExplanaTion: Given Polynomial : 4x² - 2X + (k - 4) ZEROES : $\alpha$ $\dfrac{1}{\alpha}$ We know that, $\large{\boxed{\sf{\red{Product\:of\:zeroes\:=\:\dfrac{c}{a}}}}}$ : $\implies$ $\sf{\alpha \times \dfrac{1}{\alpha}}$ = $\sf{\dfrac{k\:-\:4}{4}}$ : $\implies$ 1 = $\sf{\dfrac{k\:-\:4}{4}}$ : $\implies$ 4 = k - 4 : $\implies$ k = 4 + 4 : $\implies$ k = 8 $\therefore$ Value of k is 8.

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