Question

The root of the equation 2x² + 3x +1 =0 are:
(a) -1,-1/2
(b) 1,1/2
(c)-1, 1/2
(d)1,-1/2

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Answer 1

Answer:

$2 {x}^{2} + 3x + 1 = 0$

Removing middle term

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

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

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

Therefore,

$x = - 1 \: and \: \frac{ - 1}{2}$

Correct option= (a) - 1 and - 1/2