AE giup cai
tim gtnn cua bieu thuc |x+3|+|11-x|
Những câu hỏi liên quan
tim gtln hoac gtnn cua bieu thuc
A=x2-x
lm on giup minh nha
A= (x^2 - 2.x.1/2 + 1/4) -1/4
=(x-1/2)^2 -1/4 >= -1/4
Dấu"=" xảy ra <=> x-1/2 = 0 <=>x=1/2
Vậy Min A= -1/4 <=> x=1/2
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tim gtnn hoac gtln cua bieu thuc sau
A=100-(x^2-4)^2-3(x+2)^2
B=4-2x^2+3x
mn giup mk vsss
Giup minh nhe!!
1. Rut gon bieu thuc:
a) Asqrt{11-6sqrt{2}}+3+sqrt{2}
b) Bsqrt{12+2sqrt{11}}+sqrt{12-2sqrt{11}}
2. Rut gon bieu thuc:
a) Asqrt{x-2+2sqrt{x-3}}+sqrt{x+6+6sqrt{x-3}},voix3
3. Tim GTNN cua bieu thuc:
a) Asqrt{4x^2-12x+9}+sqrt{x^2-10x+25}+sqrt{9x^2-6x+1}+sqrt{16x^2-72x+81}
b) Bdfrac{1}{2}sqrt{x^2}+sqrt{x^2-2x+1}
Đọc tiếp
Giup minh nhe!!
1. Rut gon bieu thuc:
a) \(A=\sqrt{11-6\sqrt{2}}+3+\sqrt{2}\)
b) \(B=\sqrt{12+2\sqrt{11}}+\sqrt{12-2\sqrt{11}}\)
2. Rut gon bieu thuc:
a) \(A=\sqrt{x-2+2\sqrt{x-3}}+\sqrt{x+6+6\sqrt{x-3}},voix>=3\)
3. Tim GTNN cua bieu thuc:
a) \(A=\sqrt{4x^2-12x+9}+\sqrt{x^2-10x+25}+\sqrt{9x^2-6x+1}+\sqrt{16x^2-72x+81}\)
b) \(B=\dfrac{1}{2}\sqrt{x^2}+\sqrt{x^2-2x+1}\)
1)
a)
\(\sqrt{11-6\sqrt{2}}=\sqrt{2-2.3.\sqrt{2}+9}=\left|\sqrt{2}-3\right|=3-\sqrt{2}\)
\(A=3-\sqrt{2}+3+\sqrt{2}=6\)
b)
\(B^2=24+2\sqrt{12^2-4.11}=24+2\sqrt{100}=24+20=44\)
\(B=\sqrt{44}=2\sqrt{11}\)
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cho x+y=4. tim gtln,gtnn cua bieu thuc: (x-2)y +2017
moi nguoi giup nhanh ho em voi,em can gap lam
tớ hết lượt kết bạn rồi nên bn kết bn vs tớ nha
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Giai phuong trinh giup minh
Cho bieu thuc B=(1/x-3-1/x^2-9)*(1/x+2+1)
Tim ĐKXĐ cua B
Rut gon B
TIm x nguyen de bieu thuc B co gia tri nguyen
a: ĐKXĐ: \(x\notin\left\{3;-3;-2\right\}\)
b: \(B=\dfrac{x+3-1}{\left(x-3\right)\left(x+3\right)}\cdot\dfrac{x+2+1}{x+2}\)
\(=\dfrac{x+2}{\left(x-3\right)\left(x+3\right)}\cdot\dfrac{x+3}{x+2}=\dfrac{1}{x-3}\)
c: Để B nguyên thì \(x-3\in\left\{1;-1\right\}\)
hay \(x\in\left\{4;2\right\}\)
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tim GTNN cua bieu thuc
A = / x + 3 / + / x - 9 /
\(A=|x+3|+|x-9|=|x+3|+|9-x|\ge|x+3+9-x|=12.\)
Dấu "=" xảy ra \(\Leftrightarrow\left(x+3\right)\left(9-x\right)\ge0\)
\(\Leftrightarrow-3\le x\le9\)
Vậy: Amin=12\(\Leftrightarrow-3\le x\le9\)
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Tim GTNN cua bieu thuc
A=6/ /x/ - 3 ( x thuoc Z)
tim GTNN cua bieu thuc C=x3-3x+2017
Sửa đề: Tìm GTNN của \(C=x^2-3x+2017\)
Ta có:
\(C=x^2-3x+2017\)
\(C=\left(x^2-3x+\frac{9}{4}\right)+\frac{3}{4}+2014\)
\(C=\left(x-\frac{3}{2}\right)^2+2014\frac{3}{4}\ge2014\frac{3}{4}\left(\forall x\right)\)
Dấu "=" xảy ra khi: \(\left(x-\frac{3}{2}\right)^2=0\Rightarrow x=\frac{3}{2}\)
Vậy \(Min_C=2014\frac{3}{4}\Leftrightarrow x=\frac{3}{2}\)
tim gia tri lon nhat cua bieu thuc :
a) C= 5+ 15/ 4 I 3x+7 I +3
b) D= 2 I 7x+5I +11/ I 7x+5I +4
tim GTNN cua bieu thuc :
a) A= I x+1I + 1,7
b) B= I x-2/3I +3/7
c) C= 5+ -8/ 4x I5x+7I 24