Question

Find the nature of roots of the equation 4x2 + 4x +1 = 0?

Answer 1

Answer:

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

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

$2x(2x + 1) + 1(2x + 1) = 0$

$(2x + 1)(2x + 1) = 0$

$2x + 1 = 0$

$2x = - 1$

$\color{orange}x = \frac{ - 1}{2}$

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Answer 2

Answer:

4x^2 + 4x + 1 = 0

4x^2 + 2x +2x +1 = 0

2x ( 2x + 1 ) + 1 ( 2x +1 ) = 0

(2x +1) (2x +1) = 0

2x +1 = 0 , 2x +1 = 0

2x = -1 , 2x = -1

x = -1/2 , x = -1/2.

Nature of roots are conflict.

0>-1/2. that's why

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