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For what negative value of k is there exactly one solution to the system of equations y = 2x^2 + kx + 6, y = -x - 8?

 Feb 25, 2021
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Hint: Substitute $y=-x-8$ and put into the equation so you get a quadratic. In a quadratic equation, the equation has only one solution if the discriminant is $0$. In $ax^2+bx+c$, the discriminant is $b^2-4ac$. From here you should be able to solve for k. Good luck! smiley

 Feb 25, 2021

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