If alpha and 1/alpha are zeros of polynomial 4x2 – 2x + (k – 4), find the value of R.
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Step-by-step explanation:Compare 4x² - 2x + ( k - 4 ) with
ax² + bx + c ,
a = 4 ,
b = - 2 ,
c = k - 4 ,
Product of the zeroes = c/a
Alpha × 1/alpha = ( k - 4 ) / 4
1 = ( k - 4 ) / 4
4 = k - 4
4 + 4 = k
8 = k
Therefore ,
k = 8
I hope this helps you .
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