Question

Fine the solution of 4x^2+4x+1=0

Answer 1

x = -
`(1)/(2)` with multiplicity 2

Explanation:

given 4x² + 4x + 1 = 0

This is a perfect square of the type

(a + b)² = a² + 2ab + b²

4x² = (2x)² ⇒ a = 2x, 1 = 1² ⇒ b = 1, and

2ab = 2 × 2x × 1 = 4x

4x² + 4x + 1 = 0

(2x + 1)² = 0, hence

x = -
`(1)/(2)` with multiplicity 2

Answer 2

x = -1/2

Explanation: