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If one zero of the polynomial 3x^2 + 12x - k is reciprocal of the other , then find the value of k. ​

Oct 1, 2021

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If one zero of the polynomial 3x^2 + 12x - k is reciprocal of the other , then find the value of k. ​

Hello Guest!

k = - 3

$$3x^2 + 12x - {\color{blue}(-3)}=0$$

$$\color{blue}x\in \{-2-\sqrt{3},-2+\sqrt{3}\}$$    $$x\in \{-3.732051,-0.267949\}$$

$$-3.7323051=\dfrac{1}{-0.267949}$$

!

Oct 1, 2021