if one zero of 2 x cube minus 3 X + K is reciprocal to the other then the value of k
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Given: 2x²-3x+k .............eq 1
Let the 2 zeroes be α & 1/α
Quadratic form : ax²+bx+c.........eq 2
On comparing eq 1 & eq 2 we get
a=2 ,b = -3, c= k
Product of zeroes = α × 1/α = 1
Product of zeroes= c/a
1= k/ 2
K= 2
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The value of k is 2.
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