The-minimum-value-of-2x-2-3x-2-is-

Question Number 63539 by REHEMAABDDUL last updated on 05/Jul/19

The minimum value of 2 x^{2} - 3 x + 2 is___.

Commented by Prithwish sen last updated on 05/Jul/19

= 2 {(x - \frac{3}{4})}^{2} + \frac{7}{8}

∵ 2 {(x - \frac{3}{4})}^{2} ⩾ 0

∴ the minimum value = \frac{7}{8}

Commented by meme last updated on 05/Jul/19

a = 2 > 0

t h e m i n i m u m i s x = \frac{3}{4}

Answered by Rio Michael last updated on 05/Jul/19

m i n v a l u e = \frac{4 a c - b^{2}}{4 a}

m i n v a l = \frac{4 (2) (2) - {(- 3)}^{2}}{4 (2)}

= \frac{7}{8}