(i) Show that the line y = 2x – 2 always intersects the curve y = nx² + 6x -n at two distinct points for all real values of n given n # 0. -x2+2x-4 (ii) Hence or otherwise find the range of values of x such that > 0, where (x²+x-6)x²
(i) Show that the line y = 2x – 2 always intersects the curve y = nx² + 6x -n at two distinct points for all real values of n given n # 0. -x2+2x-4 (ii) Hence or otherwise find the range of values of x such that > 0, where (x²+x-6)x²
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CR: Chapter Review
Problem 61E
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![(i)
Show that the line y = 2x – 2 always intersects the curve y = nx² + 6x – n
at two distinct points for all real values of n given n + 0.
-x²+2x-4
(ii)
Hence or otherwise find the range of values of x such that
> 0, where
(x2+x-6)x²
x + 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58889aee-e071-444b-b144-4bb913739078%2Fccf16749-3ec0-4d49-bf20-a3f426f2ed5e%2F3t5b9u_processed.png&w=3840&q=75)
Transcribed Image Text:(i)
Show that the line y = 2x – 2 always intersects the curve y = nx² + 6x – n
at two distinct points for all real values of n given n + 0.
-x²+2x-4
(ii)
Hence or otherwise find the range of values of x such that
> 0, where
(x2+x-6)x²
x + 0.
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