Huhu, mik không biết giải mong bạn thông cảm!

câu B bài cuối là D= 1 phần 2|x-1|+3 nha mọi ng

chị học nhanh vĩa 

dạy em học với

Bài 1:

|\(x\)| = 1 ⇒ \(x\) \(\in\) {-\(\dfrac{1}{3}\); \(\dfrac{1}{3}\)}

A(-1) = 2(-\(\dfrac{1}{3}\))² - 3.(-\(\dfrac{1}{3}\)) + 5

A(-1) = \(\dfrac{2}{9}\) + 1 + 5

A (-1) = \(\dfrac{56}{9}\)

A(1) = 2.(\(\dfrac{1}{3}\) )²- \(\dfrac{1}{3}\).3 + 5

A(1) = \(\dfrac{2}{9}\) - 1 + 5

A(1) = \(\dfrac{38}{9}\)

|y| = 1 ⇒ y \(\in\) {-1; 1} 

⇒ (\(x;y\)) = (-\(\dfrac{1}{3}\); -1); (-\(\dfrac{1}{3}\); 1); (\(\dfrac{1}{3};-1\)); (\(\dfrac{1}{3};1\))

B(-\(\dfrac{1}{3}\);-1) = 2.(-\(\dfrac{1}{3}\))² - 3.(-\(\dfrac{1}{3}\)).(-1) + (-1)²

B(-\(\dfrac{1}{3}\); -1) = \(\dfrac{2}{9}\) - 1 + 1

B(-\(\dfrac{1}{3}\); -1) = \(\dfrac{2}{9}\)

B(-\(\dfrac{1}{3}\); 1) = 2.(-\(\dfrac{1}{3}\))² - 3.(-\(\dfrac{1}{3}\)).1 + 1²

B(-\(\dfrac{1}{3};1\)) = \(\dfrac{2}{9}\) + 1 + 1

B(-\(\dfrac{1}{3}\); 1) = \(\dfrac{20}{9}\) 

B(\(\dfrac{1}{3};-1\)) = 2.(\(\dfrac{1}{3}\))² - 3.(\(\dfrac{1}{3}\)).(-1) + (-1)²

B(\(\dfrac{1}{3}\); -1) = \(\dfrac{2}{9}\) + 1 + 1

B(\(\dfrac{1}{3}\); -1) = \(\dfrac{20}{9}\)

B(\(\dfrac{1}{3}\); 1) = 2.(\(\dfrac{1}{3}\))² - 3.(\(\dfrac{1}{3}\)).1 + (1)²

B(\(\dfrac{1}{3}\); 1) = \(\dfrac{2}{9}\) - 1 + 1

B(\(\dfrac{1}{3}\);1) = \(\dfrac{2}{9}\)

pan a ban giong bup be lam nhung bup be lam = nhua deo va no del co nao nhe

a) \(L=\left(x-1\right)^2+\left(x+5\right)^2\)

Ta có: \(\hept{\begin{cases}\left(x-1\right)^2\ge0\\\left(x+5\right)^2\ge0\end{cases}}\)

\(\Rightarrow L=0\Leftrightarrow\)\(\hept{\begin{cases}\left(x-1\right)^2=0\\\left(x+5\right)^2=0\end{cases}}\)

\(\Leftrightarrow\hept{\begin{cases}x=1\\x=-5\end{cases}}\left(L\right)\)

Vậy đa thức L vô nghiệm

d) \(M=x^2-5x-6\)

\(\Leftrightarrow M=x^2-6x+x-6\)

\(\Leftrightarrow M=x\left(x-6\right)+\left(x-6\right)\)

\(\Leftrightarrow M=\left(x+1\right)\left(x-6\right)\)

M = 0 \(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x-6=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=6\end{cases}}\)

Vậy đa thức M có hai nghiệm là -1 hoặc 6

\(\left(7x-3x^2y+\frac{1}{2}\right)-N=2xy-3x^2y+\frac{1}{3}x-2\)

\(N=\left(7x-3x^2y+\frac{1}{2}\right)-\left(2xy-3x^2y+\frac{1}{3}x-2\right)\)

\(N=7x-3x^2y+\frac{1}{2}-2xy+3x^2y-\frac{1}{3}x+2\)

\(N=\left(7-\frac{1}{3}\right)x+\left(3x^2y-3x^2y\right)-2xy+\left(\frac{1}{2}+2\right)\)

\(N=\frac{20}{3}x+0-2xy+\frac{5}{2}\)

\(N=\frac{20}{3}x-2xy+\frac{5}{2}\)

Thay x = -1 ; y = 1/2 vào N ta được :

\(N=\frac{20}{3}\left(-1\right)-2\left(-1\right)\cdot\frac{1}{2}+\frac{5}{2}\)

\(N=\frac{-20}{3}-\left(-1\right)+\frac{5}{2}\)

\(N=\frac{-20}{3}+1+\frac{5}{2}\)

\(N=\frac{-19}{6}\)

Vậy giá trị của N = -19/6 khi x = -1 ; y = 1/2

A=(-2/17x³y⁵).(34/5x²y)

=-4/5x⁵y⁶

Dạng 1:

a) $4x+9=4x+\frac{9}{4}.4=4(x+\frac{9}{4}\Rightarrow$ Nghiệm là $-\frac{9}{4}$

b) $-5x+6=-5x+(-5).(-\frac{6}{5})=-5(x-\frac{6}{5})\Rightarrow$ Nghiệm là $\frac{6}{5}$

c) $7-2x=-2x+7=-2x+(-2).(-\frac{7}{2})=-2(x-\frac{7}{2})\Rightarrow$ Nghiệm là $\frac{7}{2}$

d) $2x+5=2x+2.\frac{5}{2}=2.(x+\frac{5}{2})\Rightarrow$ Nghiệm là $-\frac{5}{2}$

e) $2x+6=2x+2.3=2(x+3)\Rightarrow$ Nghiệm là -3

g) $3x-\frac{1}{4}=3x-3.(\frac{1}{12})=3(x-\frac{1}{12})\Rightarrow$ Nghiệm là $\frac{1}{12}$

h) $3x-9=3x-3.3=3(x-3)\Rightarrow$ Nghiệm là 3

k) $-3x-\frac{1}{2}=-3x-3.(\frac{1}{6})=-3(x+\frac{1}{6})\Rightarrow$ Nghiệm là $-\frac{1}{6}$

m) $-17x-34=-17x-17.2=-17(x+2)\Rightarrow$ Nghiệm là -2

n) $2x-1=2x+2.(-\frac{1}{2})=3(x-\frac{1}{2})\Rightarrow$ Nghiệm là $\frac{1}{2}$

q) $5-3x=-3x+5=-3x+(-3).(-\frac{5}{3})=-3(x-\frac{5}{3})\Rightarrow$ Nghiệm là $\frac{5}{3}$

p) $3x-6=3x+3.(-2)=3(x-2)\Rightarrow$ Nghiệm là 2

4x+9=4x+49​.4=4(x+49​⇒ Nghiệm là \(- \frac{9}{4}\)

b) \(- 5 x + 6 = - 5 x + \left(\right. - 5 \left.\right) . \left(\right. - \frac{6}{5} \left.\right) = - 5 \left(\right. x - \frac{6}{5} \left.\right) \Rightarrow\) Nghiệm là \(\frac{6}{5}\)

c) \(7 - 2 x = - 2 x + 7 = - 2 x + \left(\right. - 2 \left.\right) . \left(\right. - \frac{7}{2} \left.\right) = - 2 \left(\right. x - \frac{7}{2} \left.\right) \Rightarrow\) Nghiệm là \(\frac{7}{2}\)

d) \(2 x + 5 = 2 x + 2. \frac{5}{2} = 2. \left(\right. x + \frac{5}{2} \left.\right) \Rightarrow\) Nghiệm là \(- \frac{5}{2}\)

e) \(2 x + 6 = 2 x + 2.3 = 2 \left(\right. x + 3 \left.\right) \Rightarrow\) Nghiệm là -3

g) \(3 x - \frac{1}{4} = 3 x - 3. \left(\right. \frac{1}{12} \left.\right) = 3 \left(\right. x - \frac{1}{12} \left.\right) \Rightarrow\) Nghiệm là \(\frac{1}{12}\)

h) \(3 x - 9 = 3 x - 3.3 = 3 \left(\right. x - 3 \left.\right) \Rightarrow\) Nghiệm là 3

k) \(- 3 x - \frac{1}{2} = - 3 x - 3. \left(\right. \frac{1}{6} \left.\right) = - 3 \left(\right. x + \frac{1}{6} \left.\right) \Rightarrow\) Nghiệm là \(- \frac{1}{6}\)

m) \(- 17 x - 34 = - 17 x - 17.2 = - 17 \left(\right. x + 2 \left.\right) \Rightarrow\) Nghiệm là -2

n) \(2 x - 1 = 2 x + 2. \left(\right. - \frac{1}{2} \left.\right) = 3 \left(\right. x - \frac{1}{2} \left.\right) \Rightarrow\) Nghiệm là \(\frac{1}{2}\)

q) \(5 - 3 x = - 3 x + 5 = - 3 x + \left(\right. - 3 \left.\right) . \left(\right. - \frac{5}{3} \left.\right) = - 3 \left(\right. x - \frac{5}{3} \left.\right) \Rightarrow\) Nghiệm là \(\frac{5}{3}\)

p) \(3 x - 6 = 3 x + 3. \left(\right. - 2 \left.\right) = 3 \left(\right. x - 2 \left.\right) \Rightarrow\) Nghiệm là 2