chung minh rang (x-3)^2 + 65=x(x-6)+74
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cho f(x) = ax^3 + bx^2 +cx, f(x) - F(x-1) = x^2. chung minh rang 1^2 + 2^2 + 3^2+...+n^2 = (n(n+1)(2n+1))/6
BAI 1: TIM X BIET so tu nhien x/7 du 6. chung minh rang x.x/7 du 1
bai 2: cho 2.(a.a+b.b)=(a+b).(a+b) chung minh rang a=b
chung minh rang da thuc P(x) co it nhat 2 nghiem biet rang:
X*P(x+2)-(x-3)*P(x-1)=0
chung minh rang x^2-x+3/4>0voi moi gia tri cua x
chung minh rang x^2-x+3/4>0voi moi gia tri cua x
=x^2 - 2*1/2x + 1/4 + 1/2
=x^2 - 2*1/2x + (1/2)2 +1/2
=(x-1/2)2 + 1/2
vì (x-1/2)2 lon hon hoac bang 0
suy ra (x-1/2)2 +1/2 lon hon 0
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mình rât cảm ơn bạn Nguyen Thi Hai Yen
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cho A=(2014+1)x(2014+2)x(2014+3)x.....x(2014+2014) chung minh rang 22014
Chung minh rang x^10+y^10 chia het cho x^4+x^3y+x^2y^2+xy^3+y^4
Cho x,y duong thoa man: x+y=3. Chung minh rang x2y <= 4
Chung minh rang : \(\dfrac{2}{x^2-1}+\dfrac{4}{x^2-4}+\dfrac{6}{x^2-9}+............+\dfrac{20}{x^2-100}\)chia het cho 11