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For what negative value of k is there exactly one solution to the system of equations \(\begin{align*} y &= 2x^2 + kx + 6 \\ y &= -x + 4? \end{align*}\)

 Oct 4, 2019
 #1
avatar+2417 
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Substitute and simplify

 

2x+ (k+1)x + 2

 

 

There is exactly one solution when the discriminate is equal to 0.

 

That is my hint and I will let you solve.

 Oct 4, 2019
 #2
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+2

ok thx

Guest Oct 4, 2019

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