\(P=-2\left[\left(1-x\right)-\sqrt{1-x}+\frac{1}{4}\right]+2+\frac{1}{2}=-2\left(\sqrt{1-x}-\frac{1}{2}\right)^2+\frac{5}{2}\le\frac{5}{2}\)
Max P = 5/2 khi 1-x =1/4 =>x =3/4
\(p=2x+\sqrt{1-x}\)voi 0<=x<=1. Tim gia tri lon nhat cua P
giai giup minh voi
cho 0 <= X<= 3/2.tim gia tri lon nhat cua y=x(3-2x)2
tim gia tri lon nhat cua P=2x+\(\sqrt{1-4x-x^2}\)
tim gia tri lon nhat hoac be nhat cua bieu thuc
A=\(2x-2\sqrt{x}+1\)
B=\(-x+2\sqrt{x-1}+1\)
1 tim gia tri lon nhat cua (x+z)(y+t) biet x^2+y^z^2+t^2=1
2 tim gia tri lon nhat cua (x+z)(y+t) biet x^2+y^2+2z^2+2t^2=1
Tim gia tri lon nhat va gia tri nho nhat cua bieu thuc sau: A=\(\frac{x+1}{x^2+x+1}\)
cho A =\(\frac{-\sqrt{x}}{x+\sqrt{x}+1}\)
Tim gia tri lon nhat cua Q = \(\frac{2}{P}+x\)
tim gia tri lon nhat cua \(\frac{yz\sqrt{x-1}+xz\sqrt{y-2}+xy\sqrt{z-3}}{xyz}\)
cho bieu thuc \(P=\left(\frac{\sqrt{x}-2}{x-1}-\frac{\sqrt{x+2}}{x-2\sqrt{x}+1}\right)\cdot\frac{\left(1-x\right)^2}{2}\)
a) rut gon P
b) tim gia tri lon nhat cua P