If one zero of the polynomial 3x^2 + 12x - k is reciprocal of the other , then find the value of k.
+14903 If one zero of the polynomial 3x^2 + 12x - k is reciprocal of the other , then find the value of k.
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k = - 3
\(3x^2 + 12x - {\color{blue}(-3)}=0 \)
\(\color{blue}x\in \{-2-\sqrt{3},-2+\sqrt{3}\}\) \(x\in \{-3.732051,-0.267949\}\)
\(-3.7323051=\dfrac{1}{-0.267949}\)
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