miarenee27 miarenee27

07-03-2020
Mathematics

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Find the value of c such that y= x + c is a tangent to the parabola y = x squared - x - 12

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lazirlufias lazirlufias

07-03-2020

Answer:

c = –13

Step-by-step explanation:

by property of tangent line, equation

x² – x – 12 = x + c

x² – 2x – 12 – c = 0

has only one solution, which mean

– 12 – c = 1

c = –13

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