The minimum value of f(x)=2x^2+3x+1 is – InterviewSolution

1.

The minimum value of f(x)=2x^2+3x+1 is

Answer»

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

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

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

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

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

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

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