Solve the following equation: 4x² + 4x + 1 = 0

Question

KnowledgeBoat · Accepted Answer

Given, 4x² + 4x + 1 = 0. ⇒ 4x² + 2x + 2x + 1 = 0 ⇒ 2x(2x + 1) + 1(2x + 1) = 0 ⇒ (2x + 1)(2x + 1) = 0 ⇒ (2x + 1)² = 0 ⇒ 2x + 1 = 0 or 2x + 1 = 0 ⇒ 2x = -1 or 2x = -1 ⇒ x = . Hence, roots of the given equations are

Mathematics

Solve the following equation:
4x² + 4x + 1 = 0

Quadratic Equations

Related Questions

Solve the following equation:
(2x + 3)(x - 4) = 6

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(3x + 1)(2x + 3) = 3

Solve the following equation:
(x - 4)² + 5² = 13²

Solve the following equation:
21x² = 4(2x + 1)

Mathematics

Solve the following equation:4x2 + 4x + 1 = 0

Quadratic Equations

Related Questions

Solve the following equation:(2x + 3)(x - 4) = 6

Solve the following equation:(3x + 1)(2x + 3) = 3

Solve the following equation:(x - 4)2 + 52 = 132

Solve the following equation:21x2 = 4(2x + 1)

Solve the following equation:
4x² + 4x + 1 = 0

Solve the following equation:
(2x + 3)(x - 4) = 6

Solve the following equation:
(3x + 1)(2x + 3) = 3

Solve the following equation:
(x - 4)² + 5² = 13²

Solve the following equation:
21x² = 4(2x + 1)