Question

$x^{2} + 4x + 1 = 0$

PLEASE FIND OUT THE
ROTTS OF THE QUADRATIC EQUATION. (USING ONLY COMPLETING THE SQUARE. )
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Answer 1

Required Answer:-

Given:

• x² + 4x + 1 = 0

To find:

• The roots of the given quadratic equation by completing the square method.

Solution:

Given that,

➡ x² + 4x + 1 = 0

➡ x² + 4x = -1

Adding 4 to both sides, we get,

➡ x² + 4x + 4 = -1 + 4

➡ (x)² + 2 × (2) × (x) + (2)² = 3

➡ (x + 2)² = 3

➡ x + 2 = ±√3

➡ x = ±√3 - 2

Hence, the two roots of the equation are √3 - 2 and -√3 - 2.

Answer:

• The roots of the given quadratic equation are √3 - 2 and -√3 - 2.

Answer 2

Answer:

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