Find the value of k for which the roots of the following equation are real and equal.
k²x² - 2(2k - 1)x + 4 = 0

Question

Find the value of k for which the roots of the following equation are real and equal. k²x² - 2(2k - 1)x + 4 = 0

KnowledgeBoat · Accepted Answer

Given, Equation : k²x² - 2(2k - 1)x + 4 = 0 The roots of the equation are real and equal, when D = 0. ⇒ b² - 4ac = 0 ⇒ [-2(2k - 1)]² - 4 × k² × 4 = 0 ⇒ [-4k + 2]² - 16k² = 0 ⇒ 16k² + 4 - 16k - 16k² = 0 ⇒ 16k = 4 ⇒ k = . Hence, k = .

Mathematics

Find the value of k for which the roots of the following equation are real and equal.
k²x² - 2(2k - 1)x + 4 = 0

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Mathematics

Find the value of k for which the roots of the following equation are real and equal.k2x2 - 2(2k - 1)x + 4 = 0

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