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E. Answer the following. 1) Find the values of k so that the roots of 9m² + km + 36 = 0 are equal. 2) Find the values of k of x² + 3kx - 5 = 0 so that the roots are real and distinct. 3) Determine k so that (4k+1)x² + 2x - 1 = 0 has no real roots.

E. Answer the following. 1) Find the values of k so that the roots of 9m² + km + 36 = 0 are equal. 2) Find the values of k of x² + 3kx - 5 = 0 so that the roots are real and distinct. 3) Determine k so that (4k+1)x² + 2x - 1 = 0 has no real roots.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.CR: Chapter Review
Problem 69E
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E. Answer the following. 1) Find the values of k so that the roots of 9m² + km + 36 = 0 are equal. 2) Find the values of k of x² + 3kx - 5 = 0 so that the roots are real and distinct. 3) Determine k so that (4k+1)x² + 2x - 1 = 0 has no real roots.
Transcribed Image Text:E. Answer the following. 1) Find the values of k so that the roots of 9m² + km + 36 = 0 are equal. 2) Find the values of k of x² + 3kx - 5 = 0 so that the roots are real and distinct. 3) Determine k so that (4k+1)x² + 2x - 1 = 0 has no real roots.
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