For what values of k will the equation (k + 1)x² + 6kx + 2k² - x = 0 have: a) one root equal zero b) one root the reciprocal of the other c) roots numerically equal but of opposite sign

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter1: Equations And Inequalities
Section1.4: Quadratic Equations
Problem 9SC
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For what values of k will the equation (k + 1)x² + 6kx + 2k² - x = 0 have:

a) one root equal zero
b) one root the reciprocal of the other
c) roots numerically equal but of opposite sign

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