If one root of the polynomial f(x) = 5x^2 + 13x + k is reciprocal of the other, then find the value of k.
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hi, sweet friend!!here is Ur sweet answer
let one root be X
other root will be 1/X(from question we know that reciprocal is just opposite)
x×1/X=k/5(friend we know that product is constant /coefficient ofxsquare.
k/5=1
or k=5
let one root be X
other root will be 1/X(from question we know that reciprocal is just opposite)
x×1/X=k/5(friend we know that product is constant /coefficient ofxsquare.
k/5=1
or k=5
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