Find the values of k for which the following equation has equal roots:
9x² + kx + 1 = 0

Question

Find the values of k for which the following equation has equal roots: 9x2 + kx + 1 = 0

KnowledgeBoat · Accepted Answer

Comparing 9x2 + kx + 1 = 0 with ax2 + bx + c = 0 we get, a = 9, b = k and c = 1. Since equations has equal roots, ∴ D = 0 ⇒ (k)2 - 4 × 9 × 1 = 0 ⇒ k2 - 36 = 0 ⇒ k2 = 36 ⇒ k = ⇒ k = 6 Hence, k = {6, -6}.

Mathematics

Find the values of k for which the following equation has equal roots:
9x² + kx + 1 = 0

Quadratic Equations

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Mathematics

Find the values of k for which the following equation has equal roots:9x2 + kx + 1 = 0

Quadratic Equations

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3x² - 2x + 5 = 0

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(3k + 1)x² + 2(k + 1)x + k = 0