1.1

Pt có 2 nghiệm trái dấu và tổng 2 nghiệm bằng -3 khi:

\(\left\{{}\begin{matrix}ac< 0\\x_1+x_2=-3\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}2\left(m+2\right)< 0\\\dfrac{2m+1}{m+2}=-3\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}m< -2\\m=-\dfrac{7}{5}\end{matrix}\right.\)

\(\Rightarrow\) Không tồn tại m thỏa mãn

b.

Pt có nghiệm kép khi:

\(\left\{{}\begin{matrix}m+2\ne0\\\Delta=\left(2m+1\right)^2-8\left(m+2\right)=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}m\ne-2\\4m^2-4m-15=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}m=\dfrac{5}{2}\\m=-\dfrac{3}{2}\end{matrix}\right.\)

\(1,\\ a,=6x^4y^4-x^3y^3+\dfrac{1}{2}x^4y^2\\ b,=4x^3+5x^2-8x^2-10x+12x+15\\ =4x^3-3x^2+2x+15\\ 2,\\ a,=7\left(x^2-6x+9\right)=7\left(x-3\right)^2\\ b,=\left(x-y\right)^2-36=\left(x-y-6\right)\left(x-y+6\right)\\ 3,\\ \Leftrightarrow x\left(x^2-0,36\right)=0\\ \Leftrightarrow x\left(x-0,6\right)\left(x+0,6\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=0,6\\x=-0,6\end{matrix}\right.\)

Ok

Em chụp rộng ra , đề bài thiếu

III. 

A. 

1. B

2. C

3. B

4. A

5. D

B. 

1. C

2. B

3. B

4. A

5. C

1 b c b a d

2 c b b a c nha

103,130,202,220,301,310,400

103,130,112,121,202,220,211,301,310,400

202; 112; 400

\(\left|x+\dfrac{1}{7}\right|-\dfrac{2}{3}=0\)

\(\Rightarrow\left|x+\dfrac{1}{7}\right|=0+\dfrac{2}{3}\\ \Rightarrow\left|x+\dfrac{1}{7}\right|=\dfrac{2}{3}\)

\(\Rightarrow\left[{}\begin{matrix}x+\dfrac{1}{7}=\dfrac{2}{3}\\x+\dfrac{1}{7}=-\dfrac{2}{3}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}-\dfrac{1}{7}\\x=-\dfrac{2}{3}-\dfrac{1}{7}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{11}{21}\\x=-\dfrac{17}{21}\end{matrix}\right.\)

Ta có: \(3x=4y\Rightarrow\dfrac{x}{4}=\dfrac{y}{3}\Rightarrow\dfrac{x}{20}=\dfrac{y}{15}\)

            \(2y=5z\Rightarrow\dfrac{y}{5}=\dfrac{z}{2}\Rightarrow\dfrac{y}{15}=\dfrac{z}{6}\)

Áp dụng t/c dtsbn:

\(\dfrac{x}{20}=\dfrac{y}{15}=\dfrac{z}{6}=\dfrac{x+z}{20+6}=\dfrac{52}{26}=2\)

\(\Rightarrow\left\{{}\begin{matrix}x=20.2=40\\y=15.2=30\\z=6.2=12\end{matrix}\right.\)