a) Ta có: 2|x + 2| \(\ge\)0 \(\forall\)x

=> 2|x + 2| + 15 \(\ge\)15 \(\forall\)x

Hay A \(\ge\)15 \(\forall\)x

Dấu "=" xảy ra <=>x + 2 = 0 <=> x = -2

Vậy Min A = 15 tại x = -2

b) Ta có: 2(x + 5)⁴ \(\ge\)0 \(\forall\)x

         3|x + y + 2| \(\ge\)0 \(\forall\)x;y

=> 20 - 2(x + 5)⁴ - 3|x + y + 2| \(\le\)20 \(\forall\)x;y

Hay B \(\le\)20 \(\forall\)x;y

Dấu "=" xảy ra <=> \(\hept{\begin{cases}x+5=0\\x+y+2=0\end{cases}}\) <=> \(\hept{\begin{cases}x=-5\\y=-2-x\end{cases}}\) <=> \(\hept{\begin{cases}x=-5\\y=-2-\left(-5\right)=3\end{cases}}\)

Vậy Max B = 20 tại x = -5 và y = 3

9.8(6)

x-2/8=10.6:1.5

x-2/8=7.0(6)

x      =7.0(6)+2/8

x      =9.8(6)

\(2x+x+x+83=-2\\\Rightarrow3x+x+83=-2\\\Rightarrow4x+83=-2\\\Rightarrow4x=-2-83\\\Rightarrow4x=-85\\\Rightarrow x=\dfrac{-85}{4}\)

2x + x + x + 83 = -2

(2x + 2x) + 83 = -2

4x + 83 = -2

4x = (-2) - 83

4x = -85

x = -21,25

a) 

5.(12-x)-20=30

⇒60-5x-20=30

⇒-5x=30+20-60

⇒-5x=-10

⇒x=2

b)(17x - 25 ) : 8 + 65 = 9²

(17x - 25 ) : 8 + 65 = 81

17x - 25 = 16 x 8 = 128

17x = 128+25=153

x= 153:17 =9

c)

x=23

Giải thích các bước giải:

3x – 10 = 2x + 13

3x-2x=13+10

x=23

d)4(2x+7)-3(3x-2)=24

4.2x+4.7-3.3x+3.2=24

8x+28-9x+6=24

8x-9x=24-28-6=-10

=>(-1)x=-10

        x=-10:(-1)

        x=10

a. \(5\cdot\left(12-x\right)-20=30\Leftrightarrow5\left(12-x\right)=50\)

\(\Leftrightarrow12-x=50:5=10\)

\(\Leftrightarrow x=12-10=2\)

b. \(\left(17x-25\right):8+65=9^2\)

\(\Leftrightarrow\left(17x-25\right):8=81-65=16\)

\(\Leftrightarrow17x-25=16:8=2\)

\(\Leftrightarrow17x=2+25=27\Leftrightarrow x=\frac{27}{17}\)

c. \(3x-10=2x+13\)

\(\Leftrightarrow3x-2x=10+13\)

\(\Leftrightarrow x=23\)

d. \(4\cdot\left(2x+7\right)-3\cdot\left(3x-2\right)=24\)

\(\Leftrightarrow8x+28-9x+6=24\)

\(\Leftrightarrow34-x=24\Leftrightarrow x=10\)

a) 

5.(12-x)-20=30

⇒60-5x-20=30

⇒-5x=30+20-60

⇒-5x=-10

⇒x=2

b)(17x - 25 ) : 8 + 65 = 9²

(17x - 25 ) : 8 + 65 = 81

17x - 25 = 16 x 8 = 128

17x = 128+25=153

x= 153:17 =9

c)

x=23

Giải thích các bước giải:

3x – 10 = 2x + 13

3x-2x=13+10

x=23

d)4(2x+7)-3(3x-2)=24

4.2x+4.7-3.3x+3.2=24

8x+28-9x+6=24

8x-9x=24-28-6=-10

=>(-1)x=-10

        x=-10:(-1)

        x=10

a: =>y=1,25x3,14=3,925

b: =>y:0,24=15-7,8=7,2

hay y=1,728

c: =>10y=36,7

hay y=3,67

d: =>6:y=1,5

hay y=4

e: =>4y+0,2y=44,1

=>4,2y=44,1

hay y=10,5

a) \(\left(x+5\right)^3=64\)

\(\Leftrightarrow\left(x+5\right)^3=4^3\)

\(\Leftrightarrow x+5=4\)

\(\Leftrightarrow x=-1\)

Vậy x = - 1

b) \(x:\left(-\frac{3}{5}\right)^2=-\frac{3}{5}\)

\(\Leftrightarrow x=\left(-\frac{3}{5}\right)^2.\left(-\frac{3}{5}\right)\)

\(\Leftrightarrow x=\left(-\frac{3}{5}\right)^3\)

\(\Leftrightarrow x=-0,216\)

Vậy x = - 0, 216

c) \(\left(\frac{4}{7}\right)^4.x=\left(\frac{4}{7}\right)^6\)

\(\Leftrightarrow x=\left(\frac{4}{7}\right)^6:\left(\frac{4}{7}\right)^4\)

\(\Leftrightarrow x=\left(\frac{4}{7}\right)^2\)

\(\Leftrightarrow\text{x}=\frac{16}{49}\)

Vậy x = 16/49

d) \(\left(-\frac{1}{3}\right)^3x=\frac{1}{81}\)

\(\Leftrightarrow-\frac{1}{27}x=\frac{1}{81}\)

\(\Leftrightarrow x=\frac{1}{81}:\left(-\frac{1}{27}\right)\)

\(\Leftrightarrow x=-\frac{1}{3}\)

Vậy x = - 1/3

a: \(\Leftrightarrow\left(4x+12\right)\left(3x-2\right)-\left(3x+3\right)\left(4x-1\right)=-27\)

\(\Leftrightarrow12x^2-8x+36x-24-\left(12x^2-3x+12x-3\right)=-27\)

\(\Leftrightarrow12x^2+28x-24-12x^2-9x+3=-27\)

\(\Leftrightarrow19x-21=-27\)

=>19x=-6

hay x=-6/19

b: \(\left(x+1\right)\left(3x^2-x+1\right)+x^2\left(4-3x\right)=\dfrac{5}{2}\)

\(\Leftrightarrow3x^3-x^2+x+3x^2-x+1+4x^2-3x^3=\dfrac{5}{2}\)

\(\Leftrightarrow6x^2+1=\dfrac{5}{2}\)

\(\Leftrightarrow6x^2=\dfrac{3}{2}\)

\(\Leftrightarrow x^2=\dfrac{3}{12}=\dfrac{1}{4}\)

=>x=1/2 hoặc x=-1/2

c: \(\Leftrightarrow2\left(x^2-4\right)-4\left(x^2-x-2\right)+\left(5x+8\right)\left(x+2\right)=0\)

\(\Leftrightarrow2x^2-8-4x^2+4x+8+5x^2+10x+8x+16=0\)

\(\Leftrightarrow3x^2+22x+16=0\)

\(\text{Δ}=22^2-4\cdot3\cdot16=292>0\)

Do đó: Phương trình có hai nghiệm phân biệt là:

\(\left\{{}\begin{matrix}x_1=\dfrac{-22-2\sqrt{73}}{6}=\dfrac{-11-\sqrt{73}}{3}\\x_2=\dfrac{-11+\sqrt{73}}{3}\end{matrix}\right.\)

d: \(\Leftrightarrow20x^2-16x-1=10x^2-2x+5x-1\)

\(\Leftrightarrow10x^2-19x=0\)

=>x(10x-19)=0

=>x=0 hoặc x=19/10