Find the values of k for which the following equations have two equal roots a x 2 kx 4 0 b 4x 2 4(k 2)x k 0 c (k 2)x 2 4k (4k 2)x d x 2 2x 1 2k(k 2) e (k 1)x 2 kx 2k 0 f 4x 2 (k 2)x 9 0 ...

a For a quadratic equation to have two equal roots the discriminant b24ac must be zero Therefore w ...

Find the values of k for which the following equations have two equal roots. a. x 2

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Find the values of k for which the following equations have two equal roots.
a. x² + kx + 4 = 0

b. 4x² + 4(k − 2)x + k = 0

c. (k + 2)x² + 4k = (4k + 2)x

d. x² − 2x + 1 = 2k(k − 2)

e. (k + 1)x² + kx − 2k = 0

f. 4x² − (k − 2)x + 9 = 0

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 09, 2023 05:44 AM

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Find the values of k for which the following equations have two equal roots. a. x 2

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a For a quadratic equation to have two equal roots the discriminant b24ac must be zero Therefore w...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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