a) (x - 1/2)² = 4

<=> (x - 1/2)² = 2²

<=> x - 1/2 = -2; 2

<=> x - 1/2 = 2 hoặc x - 1/2 = -2

       x = 2 + 1/2         x = -2 + 1/2

       x = 5/2               x = -3/2

=> x = 5/2 hoặc x = -3/2

b) 10/1/2 - (x + 1/3)² = 1/1/2

<=> -(x + 1/3)² = 1/1/2 - 10/1/2

<=> -(x + 1/3)² = 1/2 - 5

<=> -(x + 1/3)² = -5.2 + 1/2

<=> -(x + 1/3)² = -9/2

<=> (x + 1/3)² = 9/2

<=> x + 1/3 = \(\sqrt{\frac{9}{2}}\)  hoặc x + 1/3 = \(-\sqrt{\frac{9}{2}}\)

       x = \(\frac{3\sqrt{2}}{2}\) - 1/3         x = \(-\frac{3\sqrt{2}}{2}\) -1/3

=> x = \(\frac{3\sqrt{2}}{2}\) - 1/3 hoặc x = \(-\frac{3\sqrt{2}}{2}\) -1/3

c) (x - 1/5)² + 17/25 = 26/25

<=> (x - 1/5)² = 26/25 - 17/25

<=> (x - 1/5)² = (3/5)²

<=> x - 1/5 = -3/5; 3/5

<=> x - 1/5 = 3/5 hoặc x - 1/5 = -3/5

       x = 3/5 + 1/5         x = -3/5 + 1/5

       x = 4/5                  x = -2/5

=> x = 4/5 hoặc x = -2/5

\(a) \frac{4}{5}.x=\frac{8}{35}\)

\(\implies x= \frac{8}{35}:\frac{4}{5}\)

\(\implies x=\frac{8}{35}.\frac{5}{4}\)

\(\implies x=\frac{2}{7}\). Vậy \(x=\frac{2}{7}\)

\(b) \frac{3}{5}x-\frac{1}{2}=\frac{1}{7}\)

\(\implies \frac{3}{5}x=\frac{1}{7}+\frac{1}{2}\)

\(\implies \frac{3}{5}x=\frac{9}{14}\)

\(\implies x=\frac{9}{14}:\frac{3}{5}\)

\(\implies x=\frac{9}{14}.\frac{5}{3} \)

\(\implies x=\frac{15}{14}\). Vậy \(x=\frac{15}{14}\)

\(c) x-25\% x=0,5\)

\(\implies 75\% x=0,5\)

\(\implies \frac{3}{4}x=\frac{1}{2}\)

\(\implies x=\frac{1}{2}:\frac{3}{4}\)

\(\implies x=\frac{1}{2}.\frac{4}{3}\)

\(\implies x=\frac{2}{3}\). Vậy \(x=\frac{2}{3}\)

\(d) (\frac{1}{24.25}+\frac{1}{25.26}+...+\frac{1}{29.30}).120+x:\frac{1}{3}=-4\)

Có: \(\frac{1}{24.25}+\frac{1}{25.26}+...+\frac{1}{29.30}\)

\(=\frac{1}{24}-\frac{1}{25}+\frac{1}{25}-\frac{1}{26}+...+\frac{1}{29}-\frac{1}{30}\)

\(=\frac{1}{24}-\frac{1}{30}\)

\(=\frac{1}{120}\)

Thay vào ta có: \(\frac{1}{120}.120+x:\frac{1}{3}=-4\)

\(\implies 1+x:\frac{1}{3}=-4\)

\(\implies x:\frac{1}{3}=-5\)

\(\implies x=-5.\frac{1}{3}\)

\(\implies x=\frac{-5}{3}\). Vậy \(x=\frac{-5}{3}\)

~ Hok tốt a~

\(\frac{4}{5}.x=\frac{8}{35}\)                                                                        \(\frac{3}{5}x-\frac{1}{2}=\frac{1}{7}\)

\(x=\frac{8}{35}:\frac{4}{5}\)                                                                        \(\frac{3}{5}x=\frac{1}{7}+\frac{1}{2}\)

\(x=\frac{8}{35}.\frac{5}{4}\)                                                                          \(\frac{3}{5}x=\frac{9}{14}\)

\(x=\frac{2}{7}\)                                                                                      \(x=\frac{9}{14}:\frac{3}{5}\)

Vậy \(x=\frac{2}{7}\)                                                                               \(x=\frac{9}{14}.\frac{5}{3}\)

\(x-25\%x=0.5\)                                                                   \(x=\frac{15}{14}\)

 \(x-\frac{1}{4}x=\frac{1}{2}\)                                                                   Vậy \(x=\frac{15}{14}\)

\(x\left(1-\frac{1}{4}\right)=\frac{1}{2}\)                                   \(\left(\frac{1}{24.25}+\frac{1}{25.26}+...+\frac{1}{29.30}\right).120+x:\frac{1}{3}=-4\)

\(x=\frac{1}{2}:\frac{3}{4}\)                                       \(\left(\frac{1}{24}-\frac{1}{25}+\frac{1}{25}-\frac{1}{26}+...+\frac{1}{29}-\frac{1}{30}\right).120+x:\frac{1}{3}=-4\)               \(x=\frac{2}{3}\)                                              \(\left(\frac{1}{24}-\frac{1}{30}\right).120+x:\frac{1}{3}=-4\)

Vậy \(x=\frac{2}{3}\)                                        \(\frac{1}{120}.120+x:\frac{1}{3}=-4\)

                                                                   \(1+x:\frac{1}{3}=-4\)

                                                                    \(x:\frac{1}{3}=\left(-4\right)-1\)

                                                                 \(x:\frac{1}{3}=-5\)

                                                                      \(x=\left(-5\right).\frac{1}{3}\)

                                                                      \(x=-\frac{5}{3}\)

                                                                    Vậy \(x=-\frac{5}{3}\)

a)  4^x = 64

     4^x =  4³

=> x = 3

c)   5^x+2 = 25

      5^x+2 = 5²

=> x + 2 = 2

=>        x = 0

mình thấy phần b hình như sai đề

Có:

a)\(4^x=64=4^3=>x=3\)

b)\(2^{x+1}=25=>2^x.2=25\Rightarrow2^x=25:2=12,5\)

=> ....

c)\(5^{x+2}=25\Rightarrow5^x.5^2=25=>5^x.25=25=>5^x=25:25=1\)

=>x=0

80 - 3 ( x - 7 ) = 20

<=> 3 ( x - 7 ) = 60

<=> x - 7 = 20

<=> x = 27

4 ( x - 1 ) + 5 = 25

<=> 4 ( x - 1 ) = 20

<=> x - 1 = 5

<=> x = 6

\(\text{Giải:}\)

\(80-3\left(x-7\right)=20\)

\(3\left(x-7\right)=80-20\)

\(3\left(x-7\right)=60\)

\(x-7=60:3\)

\(x-7=20\)

\(x=20+7\)

\(x=27\)

\(\text{Vậy x = 27}\)

\(4\left(x-1\right)+5=25\)

\(4\left(x-1\right)=25-5\)

\(4\left(x-1\right)=20\)

\(x-1=20:4\)

\(x-1=5\)

\(x=5+1\)

\(x=6\)

\(\text{Vậy x = 6}\)

\(\text{Học tốt!!!}\)

chtt tích cho mình tròn 140 cái

a)x=2;y=0

b)x=2;y=5

\(a,x=\frac{7}{25}-\frac{1}{5}\Rightarrow x=\frac{2}{25}\)

\(b,x=\frac{5}{11}-\frac{4}{9}\Rightarrow x=\frac{1}{99}\)

\(c,\frac{5}{9}-\frac{x}{1}=-\frac{1}{3}\)

\(\frac{x}{1}=\frac{8}{9}\Rightarrow\frac{9x}{9}=\frac{8}{9}\Rightarrow9x=8\Rightarrow x=\frac{8}{9}\)

a) \(x=\frac{7}{25}+\frac{-1}{5}\)

\(x=\frac{7}{25}+\frac{-5}{25}\)

\(x=\frac{2}{25}\)

b) \(x=\frac{5}{11}+\frac{4}{-9}\)

\(x=\frac{-45}{-99}+\frac{44}{-99}\)

\(x=\frac{-1}{-99}=\frac{1}{99}\)

c) \(\frac{5}{9}+\frac{x}{-1}=-\frac{1}{3}\)

\(\frac{x}{-1}=-\frac{1}{3}-\frac{5}{9}\)

\(\frac{x}{-1}=-\frac{3}{9}-\frac{5}{9}\)

\(\frac{x}{-1}=-\frac{8}{9}\)

\(x=\frac{8}{9}\)