1) ĐKXĐ: \(16x^2-25\ge0\)

\(\Leftrightarrow x^2\ge\dfrac{25}{16}\)

\(\Leftrightarrow\left[{}\begin{matrix}x\ge\dfrac{5}{4}\\x\le-\dfrac{5}{4}\end{matrix}\right.\)

2) ĐKXĐ: \(4x^2-49\ge0\Leftrightarrow x^2\ge\dfrac{49}{4}\)

\(\Leftrightarrow\left[{}\begin{matrix}x\ge\dfrac{7}{2}\\x\le-\dfrac{7}{2}\end{matrix}\right.\)

3) ĐKXĐ: \(8-x^2\ge0\Leftrightarrow x^2\le8\)

\(\Leftrightarrow-2\sqrt{2}\le x\le2\sqrt{2}\)

4) ĐKXĐ: \(x^2-12\ge0\Leftrightarrow x^2\ge12\)

\(\Leftrightarrow\left[{}\begin{matrix}x\ge2\sqrt{3}\\x\le-2\sqrt{3}\end{matrix}\right.\)

5) ĐKXĐ: \(x^2+4\ge0\left(đúng\forall x\right)\)

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

\(\Leftrightarrow4x-x-\frac{1}{2}=2x-\frac{1}{2}x+5\)

\(\Leftrightarrow4x-x-2x+\frac{1}{2}x=5-\frac{1}{2}\)

\(\Leftrightarrow\frac{3}{2}x=\frac{9}{2}\Leftrightarrow x=3\)

a)12 x 18 + 14 x 3 - 255 : 17=25.58823529411765

b)68 + 42 x 5 - 625 : 25=5182

c) 13+ 21 x 5 - (198 : 11 - 8)=108

d) 1188 - 4 x (27 + 90 + 73 :10 )=

e) 5 + 8 + 11 + 14 +......+ 38 + 41=

f) 51 - 49 + 55 - 53 + 59 - 56 + 63 - 61 + 65=74

có mấy câu mình ko biết,xin lỗi bạn

a) ta có x-2/5=3/8 => x=3/8+2/5 => x=31/40

b) ta có x^2/6=24/25 => x^2=144/25 => x= +_ 12/5

c) x-1/x-5 =6/7 với x # 5) => 7(x-1)=6(x-5) => 7x-7=6x-30 => 7x-6x=6-30 => x=-24 \

nghĩ thế !

mik chỉ ghi kết quả thôi nha

vì làm ra dài dòng lw

=> ta có:

x = 7

x = 4

x = 3

x = 4

x = 3

nha bn

5(x-7)=0

=>x-7=0

=>x=0+7

=>x=7

25(x-4)=0

=>x-4=0

=>x=0+4

=>x=4

34(2x-6)=0

=>2x-6=0

=>2x=0+6

=>2x=6

=>x=6:2

=>x=3

2016(3x-12)=0

=>3x-12=0

=>3x=0+12

=>3x=12

=>x=12:3

=>x=4

47(5x-15)=0

=>5x-15=0

=>5x=0+15

=>5x=15

=>x=15:5

=>x=3

5(x-7)=0

=>x-7=0

=>x=0+7

=>x=7

25(x-4)=0

=>x-4=0

=>x=0+4

=>x=4

34(2x-6)=0

=>2x-6=0

=>2x=0+6

=>2x=6

=>x=6:2

=>x=3

2016(3x-12)=0

=>3x-12=0

=>3x=0+12

=>3x=12

=>x=12:3

=>x=4

47(5x-15)=0

=>5x-15=0

=>5x=0+15

=>5x=15

=>x=15:5

=>x=3

5mũx .[1+2+1]=31.125

5mũx .8=3875

5mũx =3875:8

5 mũ x=

a)√x−2+12√4x−8=√9x−18−2

=>√x−2+12√4(x−2)=√9(x−2)−2

=>√x−2+12√2²(x−2)=√3²(x−2)−2

=>√x−2+12.2√(x−2)=3√(x−2)−2

=>√x−2+24√(x−2)=3√(x−2)−2

=>√x−2+24√(x−2)-3√(x−2)=-2

=>√x−2(1+24-3)=-2

=>22√x−2=-2

=>√x−2=-2/22

=>√x−2=-1/11

=>x−2=1/121

=>x=1/121+2=243/121

b)√(3x−1)²=5

=>|3x−1|=5

=>3x−1=5 hoặc 3x−1=-5

=>3x=6 hoặc 3x=-4

=>x=2 hoặc x=-4/3

1)
\(=\sqrt{\left(\sqrt{11}\right)^2-2.\sqrt{11}.\sqrt{3}+\left(\sqrt{3}\right)^2}\)
\(=\sqrt{\left(\sqrt{11}-\sqrt{3}\right)^2}=\sqrt{11}-\sqrt{3}\)
2)
\(=\sqrt{\left(\sqrt{7}\right)^2-2.\sqrt{7}\sqrt{5}+\left(\sqrt{5}\right)^2}=\sqrt{\left(\sqrt{7}-\sqrt{5}\right)^2}=\sqrt{7}-\sqrt{5}\)
3)
\(=\sqrt{\left(\sqrt{11}\right)^2-2.\sqrt{11}\sqrt{5}+\left(\sqrt{5}\right)^2}=\sqrt{\left(\sqrt{11}-\sqrt{5}\right)}=\sqrt{11}-\sqrt{5}\)
4)
\(=\sqrt{3^2-2.3.\sqrt{5}+\left(\sqrt{5}\right)^2}=\sqrt{\left(3-\sqrt{5}\right)^2}=3-\sqrt{5}\)
5)
\(=\sqrt{3^2-2.3.2\sqrt{2}+\left(2\sqrt{2}\right)^2}=\sqrt{\left(3-2\sqrt{2}\right)^2}=3-2\sqrt{2}\)

 

\(\left(x+\frac{1}{2}\right)\left(x-\frac{3}{4}\right)=0\)

\(\Rightarrow\hept{\begin{cases}x+\frac{1}{2}=0\\x-\frac{3}{4}=0\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}x=-\frac{1}{2}\\x=\frac{3}{4}\end{cases}}\)

\(\left(x+\frac{1}{2}\right).\left(x-\frac{3}{4}\right)=0\)

\(x+\frac{1}{2}=0\)hoặc \(x-\frac{3}{4}=0\)

\(\Leftrightarrow x=-\frac{1}{2}\)hoặc \(x=\frac{3}{4}\)

\(\left(x+\frac{1}{2}\right).\left(x-\frac{3}{4}\right)=0\)

\(< =>\hept{\begin{cases}x+\frac{1}{2}=0\\x-\frac{3}{4}=0\end{cases}}\)

TH 1: \(x+\frac{1}{2}=0\)

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

\(x=-\frac{1}{2}\) (1)

TH 2: \(x-\frac{3}{4}=0\)

\(x=\frac{3}{4}+0\)

\(x=\frac{3}{4}\) (2)

Từ (1) và (2) => x thuộc tập hợp \(\left(-\frac{1}{2};\frac{3}{4}\right)\)

chúc bạn học tốt nha