Giải thích các bước giải:
`a,`
`⇔x^2+5/2.2.x+25/4-25/4+23`
`⇔(x+5/2)^2+67/4`
mà `(x+5/2)^2≥0.∀x`
`⇒MIN=67/4`
`⇔X=-5/2`
`b,`
`⇔x^2+2.3.x+9+21`
`⇔(x+3)^2+21`
mà `(x+3)^2≥0.∀x`
`⇒MIN=21`
`⇔X=-3`
`c,`
`⇔x^2+7/2.2.x+49/4-49/4+34`
`⇔(x+7/2)^2+87/4`
mà `(x+7/2)^2≥0.∀x`
`⇒MIN=87/4`
`⇔X=-7/2`
`d,`
`⇔x(x^2+3x+5)`
`⇔x[(x^2+3/2.2.x+9/4)-9/4+5]`
`⇔x[(x+3/2)^2+11/4]`