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a) 0,2777... + 0,3...">

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Bài làm

a) Ta có:

\(P\left(x\right)=x^5-3x^2+7x^4-9x^3+x^2-\frac{1}{4}x\)

\(P\left(x\right)=x^5-2x^2+7x^4-9x^3-\frac{1}{4}x\)

\(P\left(x\right)=x^5+7x^4-9x^3-2x^2-\frac{1}{4}x\)

\(Q\left(x\right)=5x^4-x^5+x^2-2x^3+3x^2-\frac{1}{4}\)

\(Q\left(x\right)=5x^4-x^5-2x^3+4x^2-\frac{1}{4}\)

\(Q\left(x\right)=-x^5+5x^4-2x^3+4x^2-\frac{1}{4}\)

b) \(P\left(x\right)+Q\left(x\right)=x^5+7x^4-9x^3-2x^2-\frac{1}{4}x-x^5+5x^4-2x^3+4x^2-\frac{1}{4}\)

\(P\left(x\right)+Q\left(x\right)=12x^4-11x^3+2x^2-\frac{1}{4}x-\frac{1}{4}\)

Vậy \(P\left(x\right)+Q\left(x\right)=12x^4-11x^3+2x^2-\frac{1}{4}x-\frac{1}{4}\)

\(P\left(x\right)-Q\left(x\right)=x^5+7x^4-9x^3-2x^2-\frac{1}{4}x+x^5-5x^4+2x^3-4x^2+\frac{1}{4}\)

\(P\left(x\right)-Q\left(x\right)=2x^5-2x^4-7x^3-6x^2-\frac{1}{4}x-\frac{1}{4}\)

Vậy \(P\left(x\right)-Q\left(x\right)=2x^5-2x^4-7x^3-6x^2-\frac{1}{4}x-\frac{1}{4}\)

c) Ta có: 

\(P\left(1\right)=1^5+7.1^4-9.1^3-2.1^2-\frac{1}{4}.1\)

\(P\left(1\right)=-\frac{13}{4}\)

Vậy giá trị của biểu thức P = -13/4 khi x = 1

\(Q\left(0\right)=-0^5+5.0^4-2.0^3+4.0^2-\frac{1}{4}\)

\(Q\left(0\right)=-\frac{1}{4}\)

Vậy \(Q\left(0\right)=-\frac{1}{4}\)

14 tháng 5 2021

Cảm ơn bạn nha!

26 tháng 8 2021

\(b^2=a.c\)\(=>\frac{a}{b}=\frac{b}{c}\)

Đặt : \(\frac{a}{b}=\frac{b}{c}=k\)

Ta có : \(a=b.k\)  

            \(b=c.k\)

\(=>\)\(\frac{a}{c}=\frac{b.k}{c}=\frac{c.k+k}{c}=k^2\left(1\right)\)

\(\left(\frac{a+2012b}{b+2012c}\right)^2=\left(\frac{bk+2012b}{ck+2012c}\right)^2=\left(\frac{b\left(k+2012\right)}{c\left(k+2012\right)}\right)^2=\left(\frac{b}{c}\right)^2=k^2\left(2\right)\)

Từ (1) và (2) \(=>\frac{a}{c}=\left(\frac{a+2012b}{b+2012c}\right)^2\left(đpcm\right)\)

Hok tốt~

26 tháng 8 2021

A= 3x3 - (3x -2)x2  - 2x(x+1)

A= 3x3 - 3x3 + 2x2 - 2x2 -2x

A= -2x

Thay x =-20 vào A ta được:

A = -2.(-20) = 40

Vậy A= 40 khi x = -20 

b) C= x(2x+1) - x2(x+2) + x3 -x + 3

C= 2x2 + x - x3 - 2x2 + x3 -x +3

C= (2x2 - 2x2) + (x-x) - (x3 -x3) +3 

C = 3

Vậy C= 3

ĐỀ 3:Bài 1: Tính: a) ;......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ............................................................................................
Đọc tiếp

ĐỀ 3:

Bài 1: Tính:

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Bài 2:  Tìm x:

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c) ;

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Bài 3: Tìm x, y biết:  ;

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Bài 4: Tìm 3 số x, y, z sao cho

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0
2 tháng 9 2021

(2x - 1)= (2x - 1)8

=> (2x - 1)8 - (2x - 1)6 = 0

=> (2x - 1)6 . [(2x - 1)2 - 1] = 0

\(\Rightarrow\orbr{\begin{cases}\left(2x-1\right)^6=0\\\left(2x-1\right)^2=1\end{cases}\Rightarrow\orbr{\begin{cases}2x-1=0\\\left(2x-1\right)^2=1\end{cases}}}\)

• Nếu 2x - 1 = 0 \(\Rightarrow x=\frac{1}{2}\)

• Nếu (2x - 1)2 = 1 \(\Rightarrow\orbr{\begin{cases}2x-1=1\\2x-1=-1\end{cases}\Rightarrow\orbr{\begin{cases}2x=2\\2x=0\end{cases}\Rightarrow}}\orbr{\begin{cases}x=1\\x=0\end{cases}}\)

Vậy, \(x\in\left\{0;\frac{1}{2};1\right\}\)

2 tháng 9 2021

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

\(1=4x^2-4x+1\)

\(4x\left(x-1\right)=0\)

\(\orbr{\begin{cases}x-1=0\\4x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=1\\x=0\end{cases}}\)

học tốt nha

NM
8 tháng 11 2021

a. ta có : \(\frac{5}{-3}=\frac{15}{-9}=-\frac{15}{9}\)

b.\(-\frac{1}{5}< 0< \frac{1}{100}\Rightarrow-\frac{1}{5}< \frac{1}{100}\)

c.\(\hept{\begin{cases}2^3=8\\3^2=9\end{cases}\Rightarrow2^3< 3^2}\)