SOLUTION: For what value of k does the following system have exactly one solution? y=x^2 y=x+k

SOLUTION: For what value of k does the following system have exactly one solution? y=x^2 y=x+k

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Question 1150724: For what value of k does the following system have exactly one solution?
y=x^2
y=x+k
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The system has one solution when the quadratic has a single root.

A quadratic has a single root when the discriminant is 0:

ANSWER: k = -1/4

A graph (window (-1,1) by (-1,1)....) x^2 (red); x-1/4 (green)

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