if one zero of the polynomial 5 of X is equals to 5 x square + 13 x + K is reciprocal of the other then the value of k is equals to
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Let the zeros be "α" and "1/α"
f(x) = 5x² + 13x + k
a = 5 , b = 13 , c = k
product of zeros = c/a = k/5
α*1/α = k/5
1 = k/5
k = 5
Value of k is 5
Let the zeros be "α" and "1/α"
f(x) = 5x² + 13x + k
a = 5 , b = 13 , c = k
product of zeros = c/a = k/5
α*1/α = k/5
1 = k/5
k = 5
Value of k is 5
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