Question

Tìm Min của

E=(X+1)(X+2)(X+3)(X+4)+2013

F=(X-1)(X-2)(X-3)(X-4)+2018

G=X^2+4y^2-2x+4y+2010

Tìm Max

A=10-4X-X^2

B=-2X^+4X-5

C=(x-1)^2-2(x+3)^2+20

Answer 1

Bài 2: 

a: \(=-\left(x^2+4x-10\right)\)

\(=-\left(x^2+4x+4-14\right)=-\left(x+2\right)^2+14< =14\)

Dấu = xảy ra khi x=-2

b: \(=-2\left(x^2-2x+\dfrac{5}{2}\right)\)

\(=-2\left(x^2-2x+1+\dfrac{3}{2}\right)\)

\(=-2\left(x-1\right)^2-3< =-3\)

Dấu = xảy ra khi x=1

c: \(=x^2-2x+1-2\left(x^2+6x+9\right)+20\)

\(=x^2-2x+21-2x^2-12x-18\)

\(=-x^2-14x+3\)

\(=-\left(x^2+14x-3\right)\)

\(=-\left(x^2+14x+49-52\right)=-\left(x+7\right)^2+52< =52\)

Dấu = xảy ra khi x=-7